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Finding the Fourth Proportional to 22,482.92, 31,024.22 and 12,410.72

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Solution

The fourth proportional to 22,482.92, 31,024.22 and 12,410.72 is: 17,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.92 : 31,024.22 = 12,410.72 : x
  2. Step 2: Convert to fraction form
    22,482.92/31,024.22 = 12,410.72/x
  3. Step 3: Cross multiply
    22,482.92x = 31,024.22 × 12,410.72
  4. Step 4: Simplify right side
    22,482.92x = 385,032,783.54
  5. Step 5: Solve for x
    x = 385,032,783.54/22,482.92
  6. Step 6: Final answer
    x = 17,125.57

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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.