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Finding the Fourth Proportional to 14,966.57, 20,653.71 and 8,252.21

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Solution

The fourth proportional to 14,966.57, 20,653.71 and 8,252.21 is: 11,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.57 : 20,653.71 = 8,252.21 : x
  2. Step 2: Convert to fraction form
    14,966.57/20,653.71 = 8,252.21/x
  3. Step 3: Cross multiply
    14,966.57x = 20,653.71 × 8,252.21
  4. Step 4: Simplify right side
    14,966.57x = 170,438,752.20
  5. Step 5: Solve for x
    x = 170,438,752.20/14,966.57
  6. Step 6: Final answer
    x = 11,387.96

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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.