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Finding the Fourth Proportional to 13,220.17, 19,823.92 and 7,675.04

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Solution

The fourth proportional to 13,220.17, 19,823.92 and 7,675.04 is: 11,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.17 : 19,823.92 = 7,675.04 : x
  2. Step 2: Convert to fraction form
    13,220.17/19,823.92 = 7,675.04/x
  3. Step 3: Cross multiply
    13,220.17x = 19,823.92 × 7,675.04
  4. Step 4: Simplify right side
    13,220.17x = 152,149,378.96
  5. Step 5: Solve for x
    x = 152,149,378.96/13,220.17
  6. Step 6: Final answer
    x = 11,508.89

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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.