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Finding the Fourth Proportional to 22,617.16, 31,215.42 and 12,548.84

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Solution

The fourth proportional to 22,617.16, 31,215.42 and 12,548.84 is: 17,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.16 : 31,215.42 = 12,548.84 : x
  2. Step 2: Convert to fraction form
    22,617.16/31,215.42 = 12,548.84/x
  3. Step 3: Cross multiply
    22,617.16x = 31,215.42 × 12,548.84
  4. Step 4: Simplify right side
    22,617.16x = 391,717,311.11
  5. Step 5: Solve for x
    x = 391,717,311.11/22,617.16
  6. Step 6: Final answer
    x = 17,319.47

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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.