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Finding the Fourth Proportional to 19,987.14, 29,980.71 and 10,129.24

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Solution

The fourth proportional to 19,987.14, 29,980.71 and 10,129.24 is: 15,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.14 : 29,980.71 = 10,129.24 : x
  2. Step 2: Convert to fraction form
    19,987.14/29,980.71 = 10,129.24/x
  3. Step 3: Cross multiply
    19,987.14x = 29,980.71 × 10,129.24
  4. Step 4: Simplify right side
    19,987.14x = 303,681,806.96
  5. Step 5: Solve for x
    x = 303,681,806.96/19,987.14
  6. Step 6: Final answer
    x = 15,193.86

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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.