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Finding the Fourth Proportional to 13,842.11, 19,102.14 and 7,554.48

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Solution

The fourth proportional to 13,842.11, 19,102.14 and 7,554.48 is: 10,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.11 : 19,102.14 = 7,554.48 : x
  2. Step 2: Convert to fraction form
    13,842.11/19,102.14 = 7,554.48/x
  3. Step 3: Cross multiply
    13,842.11x = 19,102.14 × 7,554.48
  4. Step 4: Simplify right side
    13,842.11x = 144,306,734.59
  5. Step 5: Solve for x
    x = 144,306,734.59/13,842.11
  6. Step 6: Final answer
    x = 10,425.20

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