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Finding the Fourth Proportional to 14,432.68, 21,686.82 and 12,588.40

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Solution

The fourth proportional to 14,432.68, 21,686.82 and 12,588.40 is: 18,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.68 : 21,686.82 = 12,588.40 : x
  2. Step 2: Convert to fraction form
    14,432.68/21,686.82 = 12,588.40/x
  3. Step 3: Cross multiply
    14,432.68x = 21,686.82 × 12,588.40
  4. Step 4: Simplify right side
    14,432.68x = 273,002,364.89
  5. Step 5: Solve for x
    x = 273,002,364.89/14,432.68
  6. Step 6: Final answer
    x = 18,915.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.