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Finding the Fourth Proportional to 17,687.44, 24,409.20 and 9,730.20

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Solution

The fourth proportional to 17,687.44, 24,409.20 and 9,730.20 is: 13,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.44 : 24,409.20 = 9,730.20 : x
  2. Step 2: Convert to fraction form
    17,687.44/24,409.20 = 9,730.20/x
  3. Step 3: Cross multiply
    17,687.44x = 24,409.20 × 9,730.20
  4. Step 4: Simplify right side
    17,687.44x = 237,506,397.84
  5. Step 5: Solve for x
    x = 237,506,397.84/17,687.44
  6. Step 6: Final answer
    x = 13,427.97

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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.