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Finding the Fourth Proportional to 24,508.02, 36,754.74 and 8,922

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Solution

The fourth proportional to 24,508.02, 36,754.74 and 8,922 is: 13,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.02 : 36,754.74 = 8,922 : x
  2. Step 2: Convert to fraction form
    24,508.02/36,754.74 = 8,922/x
  3. Step 3: Cross multiply
    24,508.02x = 36,754.74 × 8,922
  4. Step 4: Simplify right side
    24,508.02x = 327,925,790.28
  5. Step 5: Solve for x
    x = 327,925,790.28/24,508.02
  6. Step 6: Final answer
    x = 13,380.35

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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.