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Finding the Fourth Proportional to 22,617.84, 31,214.55 and 12,549.54

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Solution

The fourth proportional to 22,617.84, 31,214.55 and 12,549.54 is: 17,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.84 : 31,214.55 = 12,549.54 : x
  2. Step 2: Convert to fraction form
    22,617.84/31,214.55 = 12,549.54/x
  3. Step 3: Cross multiply
    22,617.84x = 31,214.55 × 12,549.54
  4. Step 4: Simplify right side
    22,617.84x = 391,728,243.81
  5. Step 5: Solve for x
    x = 391,728,243.81/22,617.84
  6. Step 6: Final answer
    x = 17,319.44

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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.