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Finding the Fourth Proportional to 17,609.28, 24,301.08 and 10,536

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Solution

The fourth proportional to 17,609.28, 24,301.08 and 10,536 is: 14,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.28 : 24,301.08 = 10,536 : x
  2. Step 2: Convert to fraction form
    17,609.28/24,301.08 = 10,536/x
  3. Step 3: Cross multiply
    17,609.28x = 24,301.08 × 10,536
  4. Step 4: Simplify right side
    17,609.28x = 256,036,178.88
  5. Step 5: Solve for x
    x = 256,036,178.88/17,609.28
  6. Step 6: Final answer
    x = 14,539.84

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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.