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Finding the Fourth Proportional to 14,999.78, 22,486.92 and 9,160.49

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Solution

The fourth proportional to 14,999.78, 22,486.92 and 9,160.49 is: 13,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,999.78 : 22,486.92 = 9,160.49 : x
  2. Step 2: Convert to fraction form
    14,999.78/22,486.92 = 9,160.49/x
  3. Step 3: Cross multiply
    14,999.78x = 22,486.92 × 9,160.49
  4. Step 4: Simplify right side
    14,999.78x = 205,991,227.66
  5. Step 5: Solve for x
    x = 205,991,227.66/14,999.78
  6. Step 6: Final answer
    x = 13,732.95

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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.