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Finding the Fourth Proportional to 23,402.72, 32,271.21 and 15,434.78

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Solution

The fourth proportional to 23,402.72, 32,271.21 and 15,434.78 is: 21,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.72 : 32,271.21 = 15,434.78 : x
  2. Step 2: Convert to fraction form
    23,402.72/32,271.21 = 15,434.78/x
  3. Step 3: Cross multiply
    23,402.72x = 32,271.21 × 15,434.78
  4. Step 4: Simplify right side
    23,402.72x = 498,099,026.68
  5. Step 5: Solve for x
    x = 498,099,026.68/23,402.72
  6. Step 6: Final answer
    x = 21,283.81

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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.