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Finding the Fourth Proportional to 22,908.65, 31,616.17 and 12,838.80

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Solution

The fourth proportional to 22,908.65, 31,616.17 and 12,838.80 is: 17,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,908.65 : 31,616.17 = 12,838.80 : x
  2. Step 2: Convert to fraction form
    22,908.65/31,616.17 = 12,838.80/x
  3. Step 3: Cross multiply
    22,908.65x = 31,616.17 × 12,838.80
  4. Step 4: Simplify right side
    22,908.65x = 405,913,461.12
  5. Step 5: Solve for x
    x = 405,913,461.12/22,908.65
  6. Step 6: Final answer
    x = 17,718.79

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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.