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Finding the Fourth Proportional to 15,875.70, 23,814.63 and 8,082.42

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Solution

The fourth proportional to 15,875.70, 23,814.63 and 8,082.42 is: 12,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.70 : 23,814.63 = 8,082.42 : x
  2. Step 2: Convert to fraction form
    15,875.70/23,814.63 = 8,082.42/x
  3. Step 3: Cross multiply
    15,875.70x = 23,814.63 × 8,082.42
  4. Step 4: Simplify right side
    15,875.70x = 192,479,841.80
  5. Step 5: Solve for x
    x = 192,479,841.80/15,875.70
  6. Step 6: Final answer
    x = 12,124.18

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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.