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Finding the Fourth Proportional to 13,211.48, 19,801.14 and 6,182.04

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Solution

The fourth proportional to 13,211.48, 19,801.14 and 6,182.04 is: 9,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.48 : 19,801.14 = 6,182.04 : x
  2. Step 2: Convert to fraction form
    13,211.48/19,801.14 = 6,182.04/x
  3. Step 3: Cross multiply
    13,211.48x = 19,801.14 × 6,182.04
  4. Step 4: Simplify right side
    13,211.48x = 122,411,439.53
  5. Step 5: Solve for x
    x = 122,411,439.53/13,211.48
  6. Step 6: Final answer
    x = 9,265.54

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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.