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Finding the Fourth Proportional to 17,778.65, 24,534.54 and 9,712.42

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Solution

The fourth proportional to 17,778.65, 24,534.54 and 9,712.42 is: 13,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.65 : 24,534.54 = 9,712.42 : x
  2. Step 2: Convert to fraction form
    17,778.65/24,534.54 = 9,712.42/x
  3. Step 3: Cross multiply
    17,778.65x = 24,534.54 × 9,712.42
  4. Step 4: Simplify right side
    17,778.65x = 238,289,695.65
  5. Step 5: Solve for x
    x = 238,289,695.65/17,778.65
  6. Step 6: Final answer
    x = 13,403.14

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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.