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Finding the Fourth Proportional to 15,617.84, 23,430.04 and 8,218.24

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Solution

The fourth proportional to 15,617.84, 23,430.04 and 8,218.24 is: 12,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.84 : 23,430.04 = 8,218.24 : x
  2. Step 2: Convert to fraction form
    15,617.84/23,430.04 = 8,218.24/x
  3. Step 3: Cross multiply
    15,617.84x = 23,430.04 × 8,218.24
  4. Step 4: Simplify right side
    15,617.84x = 192,553,691.93
  5. Step 5: Solve for x
    x = 192,553,691.93/15,617.84
  6. Step 6: Final answer
    x = 12,329.09

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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.