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Finding the Fourth Proportional to 16,078.24, 24,078.24 and 11,134

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Solution

The fourth proportional to 16,078.24, 24,078.24 and 11,134 is: 16,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.24 : 24,078.24 = 11,134 : x
  2. Step 2: Convert to fraction form
    16,078.24/24,078.24 = 11,134/x
  3. Step 3: Cross multiply
    16,078.24x = 24,078.24 × 11,134
  4. Step 4: Simplify right side
    16,078.24x = 268,087,124.16
  5. Step 5: Solve for x
    x = 268,087,124.16/16,078.24
  6. Step 6: Final answer
    x = 16,673.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.