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Finding the Fourth Proportional to 23,641.24, 32,624.91 and 13,031.10

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Solution

The fourth proportional to 23,641.24, 32,624.91 and 13,031.10 is: 17,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.24 : 32,624.91 = 13,031.10 : x
  2. Step 2: Convert to fraction form
    23,641.24/32,624.91 = 13,031.10/x
  3. Step 3: Cross multiply
    23,641.24x = 32,624.91 × 13,031.10
  4. Step 4: Simplify right side
    23,641.24x = 425,138,611.43
  5. Step 5: Solve for x
    x = 425,138,611.43/23,641.24
  6. Step 6: Final answer
    x = 17,982.92

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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.