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Finding the Fourth Proportional to 14,549.88, 20,078.64 and 8,262.66

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Solution

The fourth proportional to 14,549.88, 20,078.64 and 8,262.66 is: 11,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.88 : 20,078.64 = 8,262.66 : x
  2. Step 2: Convert to fraction form
    14,549.88/20,078.64 = 8,262.66/x
  3. Step 3: Cross multiply
    14,549.88x = 20,078.64 × 8,262.66
  4. Step 4: Simplify right side
    14,549.88x = 165,902,975.58
  5. Step 5: Solve for x
    x = 165,902,975.58/14,549.88
  6. Step 6: Final answer
    x = 11,402.36

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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.