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Finding the Fourth Proportional to 15,685.38, 23,515.51 and 8,185.17

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Solution

The fourth proportional to 15,685.38, 23,515.51 and 8,185.17 is: 12,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.38 : 23,515.51 = 8,185.17 : x
  2. Step 2: Convert to fraction form
    15,685.38/23,515.51 = 8,185.17/x
  3. Step 3: Cross multiply
    15,685.38x = 23,515.51 × 8,185.17
  4. Step 4: Simplify right side
    15,685.38x = 192,478,446.99
  5. Step 5: Solve for x
    x = 192,478,446.99/15,685.38
  6. Step 6: Final answer
    x = 12,271.20

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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.