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Finding the Fourth Proportional to 24,870.11, 37,307.25 and 8,229.65

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Solution

The fourth proportional to 24,870.11, 37,307.25 and 8,229.65 is: 12,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.11 : 37,307.25 = 8,229.65 : x
  2. Step 2: Convert to fraction form
    24,870.11/37,307.25 = 8,229.65/x
  3. Step 3: Cross multiply
    24,870.11x = 37,307.25 × 8,229.65
  4. Step 4: Simplify right side
    24,870.11x = 307,025,423.43
  5. Step 5: Solve for x
    x = 307,025,423.43/24,870.11
  6. Step 6: Final answer
    x = 12,345.16

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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.