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Finding the Fourth Proportional to 19,854.32, 27,390.72 and 13,143.20

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Solution

The fourth proportional to 19,854.32, 27,390.72 and 13,143.20 is: 18,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.32 : 27,390.72 = 13,143.20 : x
  2. Step 2: Convert to fraction form
    19,854.32/27,390.72 = 13,143.20/x
  3. Step 3: Cross multiply
    19,854.32x = 27,390.72 × 13,143.20
  4. Step 4: Simplify right side
    19,854.32x = 360,001,711.10
  5. Step 5: Solve for x
    x = 360,001,711.10/19,854.32
  6. Step 6: Final answer
    x = 18,132.16

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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.