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Finding the Fourth Proportional to 12,092.83, 18,119.80 and 10,148.83

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Solution

The fourth proportional to 12,092.83, 18,119.80 and 10,148.83 is: 15,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.83 : 18,119.80 = 10,148.83 : x
  2. Step 2: Convert to fraction form
    12,092.83/18,119.80 = 10,148.83/x
  3. Step 3: Cross multiply
    12,092.83x = 18,119.80 × 10,148.83
  4. Step 4: Simplify right side
    12,092.83x = 183,894,769.83
  5. Step 5: Solve for x
    x = 183,894,769.83/12,092.83
  6. Step 6: Final answer
    x = 15,206.93

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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.