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Finding the Fourth Proportional to 12,072.66, 18,111.95 and 9,753.68

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Solution

The fourth proportional to 12,072.66, 18,111.95 and 9,753.68 is: 14,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.66 : 18,111.95 = 9,753.68 : x
  2. Step 2: Convert to fraction form
    12,072.66/18,111.95 = 9,753.68/x
  3. Step 3: Cross multiply
    12,072.66x = 18,111.95 × 9,753.68
  4. Step 4: Simplify right side
    12,072.66x = 176,658,025.15
  5. Step 5: Solve for x
    x = 176,658,025.15/12,072.66
  6. Step 6: Final answer
    x = 14,632.90

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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.