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Finding the Fourth Proportional to 24,638.56, 36,957.12 and 9,052

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Solution

The fourth proportional to 24,638.56, 36,957.12 and 9,052 is: 13,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.56 : 36,957.12 = 9,052 : x
  2. Step 2: Convert to fraction form
    24,638.56/36,957.12 = 9,052/x
  3. Step 3: Cross multiply
    24,638.56x = 36,957.12 × 9,052
  4. Step 4: Simplify right side
    24,638.56x = 334,535,850.24
  5. Step 5: Solve for x
    x = 334,535,850.24/24,638.56
  6. Step 6: Final answer
    x = 13,577.74

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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.