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Finding the Fourth Proportional to 13,237.88, 19,852.50 and 5,842.04

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Solution

The fourth proportional to 13,237.88, 19,852.50 and 5,842.04 is: 8,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.88 : 19,852.50 = 5,842.04 : x
  2. Step 2: Convert to fraction form
    13,237.88/19,852.50 = 5,842.04/x
  3. Step 3: Cross multiply
    13,237.88x = 19,852.50 × 5,842.04
  4. Step 4: Simplify right side
    13,237.88x = 115,979,099.10
  5. Step 5: Solve for x
    x = 115,979,099.10/13,237.88
  6. Step 6: Final answer
    x = 8,761.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.