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Finding the Fourth Proportional to 15,982.80, 23,972.04 and 4,296.72

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Solution

The fourth proportional to 15,982.80, 23,972.04 and 4,296.72 is: 6,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.80 : 23,972.04 = 4,296.72 : x
  2. Step 2: Convert to fraction form
    15,982.80/23,972.04 = 4,296.72/x
  3. Step 3: Cross multiply
    15,982.80x = 23,972.04 × 4,296.72
  4. Step 4: Simplify right side
    15,982.80x = 103,001,143.71
  5. Step 5: Solve for x
    x = 103,001,143.71/15,982.80
  6. Step 6: Final answer
    x = 6,444.50

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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.