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Finding the Fourth Proportional to 12,829.17, 19,245.60 and 4,061.10

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Solution

The fourth proportional to 12,829.17, 19,245.60 and 4,061.10 is: 6,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.17 : 19,245.60 = 4,061.10 : x
  2. Step 2: Convert to fraction form
    12,829.17/19,245.60 = 4,061.10/x
  3. Step 3: Cross multiply
    12,829.17x = 19,245.60 × 4,061.10
  4. Step 4: Simplify right side
    12,829.17x = 78,158,306.16
  5. Step 5: Solve for x
    x = 78,158,306.16/12,829.17
  6. Step 6: Final answer
    x = 6,092.23

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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.