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Finding the Fourth Proportional to 17,730.90, 24,469.02 and 9,773.46

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Solution

The fourth proportional to 17,730.90, 24,469.02 and 9,773.46 is: 13,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.90 : 24,469.02 = 9,773.46 : x
  2. Step 2: Convert to fraction form
    17,730.90/24,469.02 = 9,773.46/x
  3. Step 3: Cross multiply
    17,730.90x = 24,469.02 × 9,773.46
  4. Step 4: Simplify right side
    17,730.90x = 239,146,988.21
  5. Step 5: Solve for x
    x = 239,146,988.21/17,730.90
  6. Step 6: Final answer
    x = 13,487.58

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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.