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Finding the Fourth Proportional to 14,978.24, 22,481.16 and 7,587.85

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Solution

The fourth proportional to 14,978.24, 22,481.16 and 7,587.85 is: 11,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.24 : 22,481.16 = 7,587.85 : x
  2. Step 2: Convert to fraction form
    14,978.24/22,481.16 = 7,587.85/x
  3. Step 3: Cross multiply
    14,978.24x = 22,481.16 × 7,587.85
  4. Step 4: Simplify right side
    14,978.24x = 170,583,669.91
  5. Step 5: Solve for x
    x = 170,583,669.91/14,978.24
  6. Step 6: Final answer
    x = 11,388.77

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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.