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Finding the Fourth Proportional to 16,158.38, 24,224.50 and 7,267.20

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Solution

The fourth proportional to 16,158.38, 24,224.50 and 7,267.20 is: 10,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.38 : 24,224.50 = 7,267.20 : x
  2. Step 2: Convert to fraction form
    16,158.38/24,224.50 = 7,267.20/x
  3. Step 3: Cross multiply
    16,158.38x = 24,224.50 × 7,267.20
  4. Step 4: Simplify right side
    16,158.38x = 176,044,250.06
  5. Step 5: Solve for x
    x = 176,044,250.06/16,158.38
  6. Step 6: Final answer
    x = 10,894.92

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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.