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Finding the Fourth Proportional to 29,981.54, 44,963.67 and 9,206.66

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Solution

The fourth proportional to 29,981.54, 44,963.67 and 9,206.66 is: 13,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981.54 : 44,963.67 = 9,206.66 : x
  2. Step 2: Convert to fraction form
    29,981.54/44,963.67 = 9,206.66/x
  3. Step 3: Cross multiply
    29,981.54x = 44,963.67 × 9,206.66
  4. Step 4: Simplify right side
    29,981.54x = 413,965,222.04
  5. Step 5: Solve for x
    x = 413,965,222.04/29,981.54
  6. Step 6: Final answer
    x = 13,807.34

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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.