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Finding the Fourth Proportional to 12,952.64, 19,434.14 and 5,166.92

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Solution

The fourth proportional to 12,952.64, 19,434.14 and 5,166.92 is: 7,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.64 : 19,434.14 = 5,166.92 : x
  2. Step 2: Convert to fraction form
    12,952.64/19,434.14 = 5,166.92/x
  3. Step 3: Cross multiply
    12,952.64x = 19,434.14 × 5,166.92
  4. Step 4: Simplify right side
    12,952.64x = 100,414,646.65
  5. Step 5: Solve for x
    x = 100,414,646.65/12,952.64
  6. Step 6: Final answer
    x = 7,752.45

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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.