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Finding the Fourth Proportional to 12,934.40, 19,411.20 and 5,148.80

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Solution

The fourth proportional to 12,934.40, 19,411.20 and 5,148.80 is: 7,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.40 : 19,411.20 = 5,148.80 : x
  2. Step 2: Convert to fraction form
    12,934.40/19,411.20 = 5,148.80/x
  3. Step 3: Cross multiply
    12,934.40x = 19,411.20 × 5,148.80
  4. Step 4: Simplify right side
    12,934.40x = 99,944,386.56
  5. Step 5: Solve for x
    x = 99,944,386.56/12,934.40
  6. Step 6: Final answer
    x = 7,727.02

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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.