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Finding the Fourth Proportional to 13,842.37, 19,102.53 and 7,554.88

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Solution

The fourth proportional to 13,842.37, 19,102.53 and 7,554.88 is: 10,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.37 : 19,102.53 = 7,554.88 : x
  2. Step 2: Convert to fraction form
    13,842.37/19,102.53 = 7,554.88/x
  3. Step 3: Cross multiply
    13,842.37x = 19,102.53 × 7,554.88
  4. Step 4: Simplify right side
    13,842.37x = 144,317,321.85
  5. Step 5: Solve for x
    x = 144,317,321.85/13,842.37
  6. Step 6: Final answer
    x = 10,425.77

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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.