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Finding the Fourth Proportional to 13,206.30, 18,224.76 and 7,899.78

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Solution

The fourth proportional to 13,206.30, 18,224.76 and 7,899.78 is: 10,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.30 : 18,224.76 = 7,899.78 : x
  2. Step 2: Convert to fraction form
    13,206.30/18,224.76 = 7,899.78/x
  3. Step 3: Cross multiply
    13,206.30x = 18,224.76 × 7,899.78
  4. Step 4: Simplify right side
    13,206.30x = 143,971,594.55
  5. Step 5: Solve for x
    x = 143,971,594.55/13,206.30
  6. Step 6: Final answer
    x = 10,901.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.