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Finding the Fourth Proportional to 14,077.30, 19,423.78 and 8,107.38

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Solution

The fourth proportional to 14,077.30, 19,423.78 and 8,107.38 is: 11,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.30 : 19,423.78 = 8,107.38 : x
  2. Step 2: Convert to fraction form
    14,077.30/19,423.78 = 8,107.38/x
  3. Step 3: Cross multiply
    14,077.30x = 19,423.78 × 8,107.38
  4. Step 4: Simplify right side
    14,077.30x = 157,475,965.50
  5. Step 5: Solve for x
    x = 157,475,965.50/14,077.30
  6. Step 6: Final answer
    x = 11,186.52

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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.