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Finding the Fourth Proportional to 15,441.98, 23,162.05 and 9,520

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Solution

The fourth proportional to 15,441.98, 23,162.05 and 9,520 is: 14,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441.98 : 23,162.05 = 9,520 : x
  2. Step 2: Convert to fraction form
    15,441.98/23,162.05 = 9,520/x
  3. Step 3: Cross multiply
    15,441.98x = 23,162.05 × 9,520
  4. Step 4: Simplify right side
    15,441.98x = 220,502,716
  5. Step 5: Solve for x
    x = 220,502,716/15,441.98
  6. Step 6: Final answer
    x = 14,279.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.