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Finding the Fourth Proportional to 15,281.53, 22,922.31 and 4,188.31

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Solution

The fourth proportional to 15,281.53, 22,922.31 and 4,188.31 is: 6,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.53 : 22,922.31 = 4,188.31 : x
  2. Step 2: Convert to fraction form
    15,281.53/22,922.31 = 4,188.31/x
  3. Step 3: Cross multiply
    15,281.53x = 22,922.31 × 4,188.31
  4. Step 4: Simplify right side
    15,281.53x = 96,005,740.20
  5. Step 5: Solve for x
    x = 96,005,740.20/15,281.53
  6. Step 6: Final answer
    x = 6,282.47

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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.