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Finding the Fourth Proportional to 14,306.52, 21,459.80 and 6,098.52

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Solution

The fourth proportional to 14,306.52, 21,459.80 and 6,098.52 is: 9,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.52 : 21,459.80 = 6,098.52 : x
  2. Step 2: Convert to fraction form
    14,306.52/21,459.80 = 6,098.52/x
  3. Step 3: Cross multiply
    14,306.52x = 21,459.80 × 6,098.52
  4. Step 4: Simplify right side
    14,306.52x = 130,873,019.50
  5. Step 5: Solve for x
    x = 130,873,019.50/14,306.52
  6. Step 6: Final answer
    x = 9,147.79

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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.