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Finding the Fourth Proportional to 13,689.66, 20,527.16 and 4,200.31

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Solution

The fourth proportional to 13,689.66, 20,527.16 and 4,200.31 is: 6,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.66 : 20,527.16 = 4,200.31 : x
  2. Step 2: Convert to fraction form
    13,689.66/20,527.16 = 4,200.31/x
  3. Step 3: Cross multiply
    13,689.66x = 20,527.16 × 4,200.31
  4. Step 4: Simplify right side
    13,689.66x = 86,220,342.33
  5. Step 5: Solve for x
    x = 86,220,342.33/13,689.66
  6. Step 6: Final answer
    x = 6,298.21

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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.