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Finding the Fourth Proportional to 17,609.76, 24,301.40 and 9,652.32

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Solution

The fourth proportional to 17,609.76, 24,301.40 and 9,652.32 is: 13,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.76 : 24,301.40 = 9,652.32 : x
  2. Step 2: Convert to fraction form
    17,609.76/24,301.40 = 9,652.32/x
  3. Step 3: Cross multiply
    17,609.76x = 24,301.40 × 9,652.32
  4. Step 4: Simplify right side
    17,609.76x = 234,564,889.25
  5. Step 5: Solve for x
    x = 234,564,889.25/17,609.76
  6. Step 6: Final answer
    x = 13,320.16

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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.