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Finding the Fourth Proportional to 14,924.90, 22,382.34 and 7,524.66

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Solution

The fourth proportional to 14,924.90, 22,382.34 and 7,524.66 is: 11,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.90 : 22,382.34 = 7,524.66 : x
  2. Step 2: Convert to fraction form
    14,924.90/22,382.34 = 7,524.66/x
  3. Step 3: Cross multiply
    14,924.90x = 22,382.34 × 7,524.66
  4. Step 4: Simplify right side
    14,924.90x = 168,419,498.50
  5. Step 5: Solve for x
    x = 168,419,498.50/14,924.90
  6. Step 6: Final answer
    x = 11,284.46

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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.