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Finding the Fourth Proportional to 24,025.16, 36,012.65 and 8,225.52

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Solution

The fourth proportional to 24,025.16, 36,012.65 and 8,225.52 is: 12,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,025.16 : 36,012.65 = 8,225.52 : x
  2. Step 2: Convert to fraction form
    24,025.16/36,012.65 = 8,225.52/x
  3. Step 3: Cross multiply
    24,025.16x = 36,012.65 × 8,225.52
  4. Step 4: Simplify right side
    24,025.16x = 296,222,731.70
  5. Step 5: Solve for x
    x = 296,222,731.70/24,025.16
  6. Step 6: Final answer
    x = 12,329.69

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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.