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Finding the Fourth Proportional to 20,089.29, 27,708.49 and 14,429.86

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Solution

The fourth proportional to 20,089.29, 27,708.49 and 14,429.86 is: 19,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.29 : 27,708.49 = 14,429.86 : x
  2. Step 2: Convert to fraction form
    20,089.29/27,708.49 = 14,429.86/x
  3. Step 3: Cross multiply
    20,089.29x = 27,708.49 × 14,429.86
  4. Step 4: Simplify right side
    20,089.29x = 399,829,580.28
  5. Step 5: Solve for x
    x = 399,829,580.28/20,089.29
  6. Step 6: Final answer
    x = 19,902.62

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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.