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Finding the Fourth Proportional to 13,842.90, 19,103 and 7,554.86

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Solution

The fourth proportional to 13,842.90, 19,103 and 7,554.86 is: 10,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.90 : 19,103 = 7,554.86 : x
  2. Step 2: Convert to fraction form
    13,842.90/19,103 = 7,554.86/x
  3. Step 3: Cross multiply
    13,842.90x = 19,103 × 7,554.86
  4. Step 4: Simplify right side
    13,842.90x = 144,320,490.58
  5. Step 5: Solve for x
    x = 144,320,490.58/13,842.90
  6. Step 6: Final answer
    x = 10,425.60

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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.