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Finding the Fourth Proportional to 13,829.65, 19,084.34 and 7,542.02

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Solution

The fourth proportional to 13,829.65, 19,084.34 and 7,542.02 is: 10,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.65 : 19,084.34 = 7,542.02 : x
  2. Step 2: Convert to fraction form
    13,829.65/19,084.34 = 7,542.02/x
  3. Step 3: Cross multiply
    13,829.65x = 19,084.34 × 7,542.02
  4. Step 4: Simplify right side
    13,829.65x = 143,934,540.53
  5. Step 5: Solve for x
    x = 143,934,540.53/13,829.65
  6. Step 6: Final answer
    x = 10,407.68

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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.