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Finding the Fourth Proportional to 23,242.38, 32,158.92 and 20,264.41

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Solution

The fourth proportional to 23,242.38, 32,158.92 and 20,264.41 is: 28,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.38 : 32,158.92 = 20,264.41 : x
  2. Step 2: Convert to fraction form
    23,242.38/32,158.92 = 20,264.41/x
  3. Step 3: Cross multiply
    23,242.38x = 32,158.92 × 20,264.41
  4. Step 4: Simplify right side
    23,242.38x = 651,681,540.04
  5. Step 5: Solve for x
    x = 651,681,540.04/23,242.38
  6. Step 6: Final answer
    x = 28,038.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.