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Finding the Fourth Proportional to 22,565.50, 31,140.47 and 12,494.64

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Solution

The fourth proportional to 22,565.50, 31,140.47 and 12,494.64 is: 17,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.50 : 31,140.47 = 12,494.64 : x
  2. Step 2: Convert to fraction form
    22,565.50/31,140.47 = 12,494.64/x
  3. Step 3: Cross multiply
    22,565.50x = 31,140.47 × 12,494.64
  4. Step 4: Simplify right side
    22,565.50x = 389,088,962.08
  5. Step 5: Solve for x
    x = 389,088,962.08/22,565.50
  6. Step 6: Final answer
    x = 17,242.65

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