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Finding the Fourth Proportional to 12,140.86, 18,206.50 and 5,899.02

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Solution

The fourth proportional to 12,140.86, 18,206.50 and 5,899.02 is: 8,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.86 : 18,206.50 = 5,899.02 : x
  2. Step 2: Convert to fraction form
    12,140.86/18,206.50 = 5,899.02/x
  3. Step 3: Cross multiply
    12,140.86x = 18,206.50 × 5,899.02
  4. Step 4: Simplify right side
    12,140.86x = 107,400,478.13
  5. Step 5: Solve for x
    x = 107,400,478.13/12,140.86
  6. Step 6: Final answer
    x = 8,846.20

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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.