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Finding the Fourth Proportional to 13,209.24, 19,772.55 and 8,523

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Solution

The fourth proportional to 13,209.24, 19,772.55 and 8,523 is: 12,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.24 : 19,772.55 = 8,523 : x
  2. Step 2: Convert to fraction form
    13,209.24/19,772.55 = 8,523/x
  3. Step 3: Cross multiply
    13,209.24x = 19,772.55 × 8,523
  4. Step 4: Simplify right side
    13,209.24x = 168,521,443.65
  5. Step 5: Solve for x
    x = 168,521,443.65/13,209.24
  6. Step 6: Final answer
    x = 12,757.85

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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.