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Finding the Fourth Proportional to 22,503.92, 31,054.80 and 12,432.08

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Solution

The fourth proportional to 22,503.92, 31,054.80 and 12,432.08 is: 17,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.92 : 31,054.80 = 12,432.08 : x
  2. Step 2: Convert to fraction form
    22,503.92/31,054.80 = 12,432.08/x
  3. Step 3: Cross multiply
    22,503.92x = 31,054.80 × 12,432.08
  4. Step 4: Simplify right side
    22,503.92x = 386,075,757.98
  5. Step 5: Solve for x
    x = 386,075,757.98/22,503.92
  6. Step 6: Final answer
    x = 17,155.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.