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Finding the Fourth Proportional to 22,675.50, 31,295.15 and 13,723.16

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Solution

The fourth proportional to 22,675.50, 31,295.15 and 13,723.16 is: 18,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.50 : 31,295.15 = 13,723.16 : x
  2. Step 2: Convert to fraction form
    22,675.50/31,295.15 = 13,723.16/x
  3. Step 3: Cross multiply
    22,675.50x = 31,295.15 × 13,723.16
  4. Step 4: Simplify right side
    22,675.50x = 429,468,125.58
  5. Step 5: Solve for x
    x = 429,468,125.58/22,675.50
  6. Step 6: Final answer
    x = 18,939.74

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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.