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Finding the Fourth Proportional to 16,142.16, 24,213.42 and 5,048.40

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Solution

The fourth proportional to 16,142.16, 24,213.42 and 5,048.40 is: 7,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.16 : 24,213.42 = 5,048.40 : x
  2. Step 2: Convert to fraction form
    16,142.16/24,213.42 = 5,048.40/x
  3. Step 3: Cross multiply
    16,142.16x = 24,213.42 × 5,048.40
  4. Step 4: Simplify right side
    16,142.16x = 122,239,029.53
  5. Step 5: Solve for x
    x = 122,239,029.53/16,142.16
  6. Step 6: Final answer
    x = 7,572.66

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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.