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Finding the Fourth Proportional to 16,178.16, 22,331.76 and 10,213.74

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Solution

The fourth proportional to 16,178.16, 22,331.76 and 10,213.74 is: 14,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.16 : 22,331.76 = 10,213.74 : x
  2. Step 2: Convert to fraction form
    16,178.16/22,331.76 = 10,213.74/x
  3. Step 3: Cross multiply
    16,178.16x = 22,331.76 × 10,213.74
  4. Step 4: Simplify right side
    16,178.16x = 228,090,790.38
  5. Step 5: Solve for x
    x = 228,090,790.38/16,178.16
  6. Step 6: Final answer
    x = 14,098.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.