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Finding the Fourth Proportional to 17,712.81, 24,443.10 and 9,646.43

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Solution

The fourth proportional to 17,712.81, 24,443.10 and 9,646.43 is: 13,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.81 : 24,443.10 = 9,646.43 : x
  2. Step 2: Convert to fraction form
    17,712.81/24,443.10 = 9,646.43/x
  3. Step 3: Cross multiply
    17,712.81x = 24,443.10 × 9,646.43
  4. Step 4: Simplify right side
    17,712.81x = 235,788,530.92
  5. Step 5: Solve for x
    x = 235,788,530.92/17,712.81
  6. Step 6: Final answer
    x = 13,311.75

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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.