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Finding the Fourth Proportional to 17,712, 24,442.56 and 9,754.20

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Solution

The fourth proportional to 17,712, 24,442.56 and 9,754.20 is: 13,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 24,442.56 = 9,754.20 : x
  2. Step 2: Convert to fraction form
    17,712/24,442.56 = 9,754.20/x
  3. Step 3: Cross multiply
    17,712x = 24,442.56 × 9,754.20
  4. Step 4: Simplify right side
    17,712x = 238,417,618.75
  5. Step 5: Solve for x
    x = 238,417,618.75/17,712
  6. Step 6: Final answer
    x = 13,460.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.