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Finding the Fourth Proportional to 21,717.42, 29,966.18 and 12,766.74

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Solution

The fourth proportional to 21,717.42, 29,966.18 and 12,766.74 is: 17,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717.42 : 29,966.18 = 12,766.74 : x
  2. Step 2: Convert to fraction form
    21,717.42/29,966.18 = 12,766.74/x
  3. Step 3: Cross multiply
    21,717.42x = 29,966.18 × 12,766.74
  4. Step 4: Simplify right side
    21,717.42x = 382,570,428.85
  5. Step 5: Solve for x
    x = 382,570,428.85/21,717.42
  6. Step 6: Final answer
    x = 17,615.83

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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.