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Finding the Fourth Proportional to 24,126.40, 36,187.80 and 10,082.80

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Solution

The fourth proportional to 24,126.40, 36,187.80 and 10,082.80 is: 15,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126.40 : 36,187.80 = 10,082.80 : x
  2. Step 2: Convert to fraction form
    24,126.40/36,187.80 = 10,082.80/x
  3. Step 3: Cross multiply
    24,126.40x = 36,187.80 × 10,082.80
  4. Step 4: Simplify right side
    24,126.40x = 364,874,349.84
  5. Step 5: Solve for x
    x = 364,874,349.84/24,126.40
  6. Step 6: Final answer
    x = 15,123.45

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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.