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Finding the Fourth Proportional to 15,230.90, 22,848.08 and 5,367.83

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Solution

The fourth proportional to 15,230.90, 22,848.08 and 5,367.83 is: 8,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.90 : 22,848.08 = 5,367.83 : x
  2. Step 2: Convert to fraction form
    15,230.90/22,848.08 = 5,367.83/x
  3. Step 3: Cross multiply
    15,230.90x = 22,848.08 × 5,367.83
  4. Step 4: Simplify right side
    15,230.90x = 122,644,468.19
  5. Step 5: Solve for x
    x = 122,644,468.19/15,230.90
  6. Step 6: Final answer
    x = 8,052.35

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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.