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Finding the Fourth Proportional to 14,891.52, 22,313.52 and 7,871.28

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Solution

The fourth proportional to 14,891.52, 22,313.52 and 7,871.28 is: 11,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.52 : 22,313.52 = 7,871.28 : x
  2. Step 2: Convert to fraction form
    14,891.52/22,313.52 = 7,871.28/x
  3. Step 3: Cross multiply
    14,891.52x = 22,313.52 × 7,871.28
  4. Step 4: Simplify right side
    14,891.52x = 175,635,963.71
  5. Step 5: Solve for x
    x = 175,635,963.71/14,891.52
  6. Step 6: Final answer
    x = 11,794.36

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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.