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Finding the Fourth Proportional to 14,871.52, 22,306.72 and 4,483

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Solution

The fourth proportional to 14,871.52, 22,306.72 and 4,483 is: 6,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.52 : 22,306.72 = 4,483 : x
  2. Step 2: Convert to fraction form
    14,871.52/22,306.72 = 4,483/x
  3. Step 3: Cross multiply
    14,871.52x = 22,306.72 × 4,483
  4. Step 4: Simplify right side
    14,871.52x = 100,001,025.76
  5. Step 5: Solve for x
    x = 100,001,025.76/14,871.52
  6. Step 6: Final answer
    x = 6,724.33

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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.