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Finding the Fourth Proportional to 15,732.81, 21,713.40 and 14,404.14

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Solution

The fourth proportional to 15,732.81, 21,713.40 and 14,404.14 is: 19,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.81 : 21,713.40 = 14,404.14 : x
  2. Step 2: Convert to fraction form
    15,732.81/21,713.40 = 14,404.14/x
  3. Step 3: Cross multiply
    15,732.81x = 21,713.40 × 14,404.14
  4. Step 4: Simplify right side
    15,732.81x = 312,762,853.48
  5. Step 5: Solve for x
    x = 312,762,853.48/15,732.81
  6. Step 6: Final answer
    x = 19,879.66

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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.