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Finding the Fourth Proportional to 19,717.20, 29,575.80 and 9,349.20

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Solution

The fourth proportional to 19,717.20, 29,575.80 and 9,349.20 is: 14,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,717.20 : 29,575.80 = 9,349.20 : x
  2. Step 2: Convert to fraction form
    19,717.20/29,575.80 = 9,349.20/x
  3. Step 3: Cross multiply
    19,717.20x = 29,575.80 × 9,349.20
  4. Step 4: Simplify right side
    19,717.20x = 276,510,069.36
  5. Step 5: Solve for x
    x = 276,510,069.36/19,717.20
  6. Step 6: Final answer
    x = 14,023.80

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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.