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Finding the Fourth Proportional to 13,756.85, 20,642.31 and 6,552.16

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Solution

The fourth proportional to 13,756.85, 20,642.31 and 6,552.16 is: 9,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.85 : 20,642.31 = 6,552.16 : x
  2. Step 2: Convert to fraction form
    13,756.85/20,642.31 = 6,552.16/x
  3. Step 3: Cross multiply
    13,756.85x = 20,642.31 × 6,552.16
  4. Step 4: Simplify right side
    13,756.85x = 135,251,666.28
  5. Step 5: Solve for x
    x = 135,251,666.28/13,756.85
  6. Step 6: Final answer
    x = 9,831.59

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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.