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Finding the Fourth Proportional to 27,007.65, 40,511.48 and 9,475.20

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Solution

The fourth proportional to 27,007.65, 40,511.48 and 9,475.20 is: 14,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.65 : 40,511.48 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    27,007.65/40,511.48 = 9,475.20/x
  3. Step 3: Cross multiply
    27,007.65x = 40,511.48 × 9,475.20
  4. Step 4: Simplify right side
    27,007.65x = 383,854,327.92
  5. Step 5: Solve for x
    x = 383,854,327.92/27,007.65
  6. Step 6: Final answer
    x = 14,212.80

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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.