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Finding the Fourth Proportional to 17,705.60, 24,433.42 and 9,638.98

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Solution

The fourth proportional to 17,705.60, 24,433.42 and 9,638.98 is: 13,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.60 : 24,433.42 = 9,638.98 : x
  2. Step 2: Convert to fraction form
    17,705.60/24,433.42 = 9,638.98/x
  3. Step 3: Cross multiply
    17,705.60x = 24,433.42 × 9,638.98
  4. Step 4: Simplify right side
    17,705.60x = 235,513,246.71
  5. Step 5: Solve for x
    x = 235,513,246.71/17,705.60
  6. Step 6: Final answer
    x = 13,301.62

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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.