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Finding the Fourth Proportional to 17,624.40, 24,320.89 and 10,071.96

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Solution

The fourth proportional to 17,624.40, 24,320.89 and 10,071.96 is: 13,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.40 : 24,320.89 = 10,071.96 : x
  2. Step 2: Convert to fraction form
    17,624.40/24,320.89 = 10,071.96/x
  3. Step 3: Cross multiply
    17,624.40x = 24,320.89 × 10,071.96
  4. Step 4: Simplify right side
    17,624.40x = 244,959,031.24
  5. Step 5: Solve for x
    x = 244,959,031.24/17,624.40
  6. Step 6: Final answer
    x = 13,898.86

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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.