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Finding the Fourth Proportional to 21,691.68, 29,931.17 and 12,738.35

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Solution

The fourth proportional to 21,691.68, 29,931.17 and 12,738.35 is: 17,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.68 : 29,931.17 = 12,738.35 : x
  2. Step 2: Convert to fraction form
    21,691.68/29,931.17 = 12,738.35/x
  3. Step 3: Cross multiply
    21,691.68x = 29,931.17 × 12,738.35
  4. Step 4: Simplify right side
    21,691.68x = 381,273,506.02
  5. Step 5: Solve for x
    x = 381,273,506.02/21,691.68
  6. Step 6: Final answer
    x = 17,576.95

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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.