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Finding the Fourth Proportional to 12,854.80, 19,287.84 and 5,061.52

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Solution

The fourth proportional to 12,854.80, 19,287.84 and 5,061.52 is: 7,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.80 : 19,287.84 = 5,061.52 : x
  2. Step 2: Convert to fraction form
    12,854.80/19,287.84 = 5,061.52/x
  3. Step 3: Cross multiply
    12,854.80x = 19,287.84 × 5,061.52
  4. Step 4: Simplify right side
    12,854.80x = 97,625,787.92
  5. Step 5: Solve for x
    x = 97,625,787.92/12,854.80
  6. Step 6: Final answer
    x = 7,594.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.