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Finding the Fourth Proportional to 22,617.28, 31,211.04 and 12,546.16

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Solution

The fourth proportional to 22,617.28, 31,211.04 and 12,546.16 is: 17,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.28 : 31,211.04 = 12,546.16 : x
  2. Step 2: Convert to fraction form
    22,617.28/31,211.04 = 12,546.16/x
  3. Step 3: Cross multiply
    22,617.28x = 31,211.04 × 12,546.16
  4. Step 4: Simplify right side
    22,617.28x = 391,578,701.61
  5. Step 5: Solve for x
    x = 391,578,701.61/22,617.28
  6. Step 6: Final answer
    x = 17,313.25

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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.