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Finding the Fourth Proportional to 15,902.38, 23,862.75 and 8,510.97

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Solution

The fourth proportional to 15,902.38, 23,862.75 and 8,510.97 is: 12,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.38 : 23,862.75 = 8,510.97 : x
  2. Step 2: Convert to fraction form
    15,902.38/23,862.75 = 8,510.97/x
  3. Step 3: Cross multiply
    15,902.38x = 23,862.75 × 8,510.97
  4. Step 4: Simplify right side
    15,902.38x = 203,095,254.81
  5. Step 5: Solve for x
    x = 203,095,254.81/15,902.38
  6. Step 6: Final answer
    x = 12,771.38

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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.