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Finding the Fourth Proportional to 24,174.84, 36,219.28 and 10,103.88

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Solution

The fourth proportional to 24,174.84, 36,219.28 and 10,103.88 is: 15,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.84 : 36,219.28 = 10,103.88 : x
  2. Step 2: Convert to fraction form
    24,174.84/36,219.28 = 10,103.88/x
  3. Step 3: Cross multiply
    24,174.84x = 36,219.28 × 10,103.88
  4. Step 4: Simplify right side
    24,174.84x = 365,955,258.81
  5. Step 5: Solve for x
    x = 365,955,258.81/24,174.84
  6. Step 6: Final answer
    x = 15,137.86

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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.