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Finding the Fourth Proportional to 13,842.43, 19,103.01 and 7,554.80

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Solution

The fourth proportional to 13,842.43, 19,103.01 and 7,554.80 is: 10,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.43 : 19,103.01 = 7,554.80 : x
  2. Step 2: Convert to fraction form
    13,842.43/19,103.01 = 7,554.80/x
  3. Step 3: Cross multiply
    13,842.43x = 19,103.01 × 7,554.80
  4. Step 4: Simplify right side
    13,842.43x = 144,319,439.38
  5. Step 5: Solve for x
    x = 144,319,439.38/13,842.43
  6. Step 6: Final answer
    x = 10,425.88

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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.