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Finding the Fourth Proportional to 12,293.24, 18,412.11 and 10,078.90

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Solution

The fourth proportional to 12,293.24, 18,412.11 and 10,078.90 is: 15,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.24 : 18,412.11 = 10,078.90 : x
  2. Step 2: Convert to fraction form
    12,293.24/18,412.11 = 10,078.90/x
  3. Step 3: Cross multiply
    12,293.24x = 18,412.11 × 10,078.90
  4. Step 4: Simplify right side
    12,293.24x = 185,573,769.45
  5. Step 5: Solve for x
    x = 185,573,769.45/12,293.24
  6. Step 6: Final answer
    x = 15,095.60

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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.