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Finding the Fourth Proportional to 13,242.75, 19,864.08 and 8,315.85

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Solution

The fourth proportional to 13,242.75, 19,864.08 and 8,315.85 is: 12,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.75 : 19,864.08 = 8,315.85 : x
  2. Step 2: Convert to fraction form
    13,242.75/19,864.08 = 8,315.85/x
  3. Step 3: Cross multiply
    13,242.75x = 19,864.08 × 8,315.85
  4. Step 4: Simplify right side
    13,242.75x = 165,186,709.67
  5. Step 5: Solve for x
    x = 165,186,709.67/13,242.75
  6. Step 6: Final answer
    x = 12,473.75

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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.