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Finding the Fourth Proportional to 19,883.62, 29,760.52 and 14,617.24

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Solution

The fourth proportional to 19,883.62, 29,760.52 and 14,617.24 is: 21,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.62 : 29,760.52 = 14,617.24 : x
  2. Step 2: Convert to fraction form
    19,883.62/29,760.52 = 14,617.24/x
  3. Step 3: Cross multiply
    19,883.62x = 29,760.52 × 14,617.24
  4. Step 4: Simplify right side
    19,883.62x = 435,016,663.36
  5. Step 5: Solve for x
    x = 435,016,663.36/19,883.62
  6. Step 6: Final answer
    x = 21,878.14

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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.