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Finding the Fourth Proportional to 24,621.32, 36,946.56 and 9,837.20

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Solution

The fourth proportional to 24,621.32, 36,946.56 and 9,837.20 is: 14,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,621.32 : 36,946.56 = 9,837.20 : x
  2. Step 2: Convert to fraction form
    24,621.32/36,946.56 = 9,837.20/x
  3. Step 3: Cross multiply
    24,621.32x = 36,946.56 × 9,837.20
  4. Step 4: Simplify right side
    24,621.32x = 363,450,700.03
  5. Step 5: Solve for x
    x = 363,450,700.03/24,621.32
  6. Step 6: Final answer
    x = 14,761.63

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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.