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Finding the Fourth Proportional to 12,952.80, 19,416.40 and 5,151.20

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Solution

The fourth proportional to 12,952.80, 19,416.40 and 5,151.20 is: 7,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.80 : 19,416.40 = 5,151.20 : x
  2. Step 2: Convert to fraction form
    12,952.80/19,416.40 = 5,151.20/x
  3. Step 3: Cross multiply
    12,952.80x = 19,416.40 × 5,151.20
  4. Step 4: Simplify right side
    12,952.80x = 100,017,759.68
  5. Step 5: Solve for x
    x = 100,017,759.68/12,952.80
  6. Step 6: Final answer
    x = 7,721.71

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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.