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Finding the Fourth Proportional to 22,681.78, 31,302.78 and 12,612.17

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Solution

The fourth proportional to 22,681.78, 31,302.78 and 12,612.17 is: 17,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.78 : 31,302.78 = 12,612.17 : x
  2. Step 2: Convert to fraction form
    22,681.78/31,302.78 = 12,612.17/x
  3. Step 3: Cross multiply
    22,681.78x = 31,302.78 × 12,612.17
  4. Step 4: Simplify right side
    22,681.78x = 394,795,982.83
  5. Step 5: Solve for x
    x = 394,795,982.83/22,681.78
  6. Step 6: Final answer
    x = 17,405.86

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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.