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Finding the Fourth Proportional to 24,655.94, 36,980.46 and 8,016.20

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Solution

The fourth proportional to 24,655.94, 36,980.46 and 8,016.20 is: 12,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655.94 : 36,980.46 = 8,016.20 : x
  2. Step 2: Convert to fraction form
    24,655.94/36,980.46 = 8,016.20/x
  3. Step 3: Cross multiply
    24,655.94x = 36,980.46 × 8,016.20
  4. Step 4: Simplify right side
    24,655.94x = 296,442,763.45
  5. Step 5: Solve for x
    x = 296,442,763.45/24,655.94
  6. Step 6: Final answer
    x = 12,023.18

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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.