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Finding the Fourth Proportional to 14,549.80, 20,077.86 and 8,262.28

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Solution

The fourth proportional to 14,549.80, 20,077.86 and 8,262.28 is: 11,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.80 : 20,077.86 = 8,262.28 : x
  2. Step 2: Convert to fraction form
    14,549.80/20,077.86 = 8,262.28/x
  3. Step 3: Cross multiply
    14,549.80x = 20,077.86 × 8,262.28
  4. Step 4: Simplify right side
    14,549.80x = 165,888,901.12
  5. Step 5: Solve for x
    x = 165,888,901.12/14,549.80
  6. Step 6: Final answer
    x = 11,401.46

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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.