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Finding the Fourth Proportional to 14,966.64, 20,654.12 and 8,252.52

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Solution

The fourth proportional to 14,966.64, 20,654.12 and 8,252.52 is: 11,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.64 : 20,654.12 = 8,252.52 : x
  2. Step 2: Convert to fraction form
    14,966.64/20,654.12 = 8,252.52/x
  3. Step 3: Cross multiply
    14,966.64x = 20,654.12 × 8,252.52
  4. Step 4: Simplify right side
    14,966.64x = 170,448,538.38
  5. Step 5: Solve for x
    x = 170,448,538.38/14,966.64
  6. Step 6: Final answer
    x = 11,388.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.