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Finding the Fourth Proportional to 15,524.76, 21,449.22 and 10,830

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Solution

The fourth proportional to 15,524.76, 21,449.22 and 10,830 is: 14,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.76 : 21,449.22 = 10,830 : x
  2. Step 2: Convert to fraction form
    15,524.76/21,449.22 = 10,830/x
  3. Step 3: Cross multiply
    15,524.76x = 21,449.22 × 10,830
  4. Step 4: Simplify right side
    15,524.76x = 232,295,052.60
  5. Step 5: Solve for x
    x = 232,295,052.60/15,524.76
  6. Step 6: Final answer
    x = 14,962.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.