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Finding the Fourth Proportional to 12,092.17, 18,138.14 and 6,580.54

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Solution

The fourth proportional to 12,092.17, 18,138.14 and 6,580.54 is: 9,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.17 : 18,138.14 = 6,580.54 : x
  2. Step 2: Convert to fraction form
    12,092.17/18,138.14 = 6,580.54/x
  3. Step 3: Cross multiply
    12,092.17x = 18,138.14 × 6,580.54
  4. Step 4: Simplify right side
    12,092.17x = 119,358,807.26
  5. Step 5: Solve for x
    x = 119,358,807.26/12,092.17
  6. Step 6: Final answer
    x = 9,870.75

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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.