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Finding the Fourth Proportional to 13,842.41, 19,102.25 and 7,554.83

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Solution

The fourth proportional to 13,842.41, 19,102.25 and 7,554.83 is: 10,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.41 : 19,102.25 = 7,554.83 : x
  2. Step 2: Convert to fraction form
    13,842.41/19,102.25 = 7,554.83/x
  3. Step 3: Cross multiply
    13,842.41x = 19,102.25 × 7,554.83
  4. Step 4: Simplify right side
    13,842.41x = 144,314,174.74
  5. Step 5: Solve for x
    x = 144,314,174.74/13,842.41
  6. Step 6: Final answer
    x = 10,425.51

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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.