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Finding the Fourth Proportional to 16,101.12, 24,156 and 6,738.24

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Solution

The fourth proportional to 16,101.12, 24,156 and 6,738.24 is: 10,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.12 : 24,156 = 6,738.24 : x
  2. Step 2: Convert to fraction form
    16,101.12/24,156 = 6,738.24/x
  3. Step 3: Cross multiply
    16,101.12x = 24,156 × 6,738.24
  4. Step 4: Simplify right side
    16,101.12x = 162,768,925.44
  5. Step 5: Solve for x
    x = 162,768,925.44/16,101.12
  6. Step 6: Final answer
    x = 10,109.17

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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.