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Finding the Fourth Proportional to 29,291.52, 43,948.80 and 12,864

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Solution

The fourth proportional to 29,291.52, 43,948.80 and 12,864 is: 19,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291.52 : 43,948.80 = 12,864 : x
  2. Step 2: Convert to fraction form
    29,291.52/43,948.80 = 12,864/x
  3. Step 3: Cross multiply
    29,291.52x = 43,948.80 × 12,864
  4. Step 4: Simplify right side
    29,291.52x = 565,357,363.20
  5. Step 5: Solve for x
    x = 565,357,363.20/29,291.52
  6. Step 6: Final answer
    x = 19,301.06

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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.