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Finding the Fourth Proportional to 24,187.84, 36,283.44 and 10,142.56

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Solution

The fourth proportional to 24,187.84, 36,283.44 and 10,142.56 is: 15,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.84 : 36,283.44 = 10,142.56 : x
  2. Step 2: Convert to fraction form
    24,187.84/36,283.44 = 10,142.56/x
  3. Step 3: Cross multiply
    24,187.84x = 36,283.44 × 10,142.56
  4. Step 4: Simplify right side
    24,187.84x = 368,006,967.21
  5. Step 5: Solve for x
    x = 368,006,967.21/24,187.84
  6. Step 6: Final answer
    x = 15,214.54

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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.