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Finding the Fourth Proportional to 15,311.90, 22,967.52 and 8,724.02

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Solution

The fourth proportional to 15,311.90, 22,967.52 and 8,724.02 is: 13,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.90 : 22,967.52 = 8,724.02 : x
  2. Step 2: Convert to fraction form
    15,311.90/22,967.52 = 8,724.02/x
  3. Step 3: Cross multiply
    15,311.90x = 22,967.52 × 8,724.02
  4. Step 4: Simplify right side
    15,311.90x = 200,369,103.83
  5. Step 5: Solve for x
    x = 200,369,103.83/15,311.90
  6. Step 6: Final answer
    x = 13,085.84

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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.