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Finding the Fourth Proportional to 20,709.56, 31,064.13 and 13,720.88

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Solution

The fourth proportional to 20,709.56, 31,064.13 and 13,720.88 is: 20,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.56 : 31,064.13 = 13,720.88 : x
  2. Step 2: Convert to fraction form
    20,709.56/31,064.13 = 13,720.88/x
  3. Step 3: Cross multiply
    20,709.56x = 31,064.13 × 13,720.88
  4. Step 4: Simplify right side
    20,709.56x = 426,227,044.71
  5. Step 5: Solve for x
    x = 426,227,044.71/20,709.56
  6. Step 6: Final answer
    x = 20,581.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.