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Finding the Fourth Proportional to 23,863.68, 32,931.84 and 14,432.22

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Solution

The fourth proportional to 23,863.68, 32,931.84 and 14,432.22 is: 19,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.68 : 32,931.84 = 14,432.22 : x
  2. Step 2: Convert to fraction form
    23,863.68/32,931.84 = 14,432.22/x
  3. Step 3: Cross multiply
    23,863.68x = 32,931.84 × 14,432.22
  4. Step 4: Simplify right side
    23,863.68x = 475,279,559.88
  5. Step 5: Solve for x
    x = 475,279,559.88/23,863.68
  6. Step 6: Final answer
    x = 19,916.44

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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.