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Finding the Fourth Proportional to 13,897.43, 19,178.33 and 7,523.90

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Solution

The fourth proportional to 13,897.43, 19,178.33 and 7,523.90 is: 10,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.43 : 19,178.33 = 7,523.90 : x
  2. Step 2: Convert to fraction form
    13,897.43/19,178.33 = 7,523.90/x
  3. Step 3: Cross multiply
    13,897.43x = 19,178.33 × 7,523.90
  4. Step 4: Simplify right side
    13,897.43x = 144,295,703.58
  5. Step 5: Solve for x
    x = 144,295,703.58/13,897.43
  6. Step 6: Final answer
    x = 10,382.91

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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.