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Finding the Fourth Proportional to 22,909.86, 31,614.10 and 13,476.60

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Solution

The fourth proportional to 22,909.86, 31,614.10 and 13,476.60 is: 18,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.86 : 31,614.10 = 13,476.60 : x
  2. Step 2: Convert to fraction form
    22,909.86/31,614.10 = 13,476.60/x
  3. Step 3: Cross multiply
    22,909.86x = 31,614.10 × 13,476.60
  4. Step 4: Simplify right side
    22,909.86x = 426,050,580.06
  5. Step 5: Solve for x
    x = 426,050,580.06/22,909.86
  6. Step 6: Final answer
    x = 18,596.82

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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.