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Finding the Fourth Proportional to 17,731.20, 24,468.76 and 9,774.16

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Solution

The fourth proportional to 17,731.20, 24,468.76 and 9,774.16 is: 13,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.20 : 24,468.76 = 9,774.16 : x
  2. Step 2: Convert to fraction form
    17,731.20/24,468.76 = 9,774.16/x
  3. Step 3: Cross multiply
    17,731.20x = 24,468.76 × 9,774.16
  4. Step 4: Simplify right side
    17,731.20x = 239,161,526.37
  5. Step 5: Solve for x
    x = 239,161,526.37/17,731.20
  6. Step 6: Final answer
    x = 13,488.18

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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.