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Finding the Fourth Proportional to 22,549.77, 31,118.72 and 12,478.64

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Solution

The fourth proportional to 22,549.77, 31,118.72 and 12,478.64 is: 17,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.77 : 31,118.72 = 12,478.64 : x
  2. Step 2: Convert to fraction form
    22,549.77/31,118.72 = 12,478.64/x
  3. Step 3: Cross multiply
    22,549.77x = 31,118.72 × 12,478.64
  4. Step 4: Simplify right side
    22,549.77x = 388,319,304.14
  5. Step 5: Solve for x
    x = 388,319,304.14/22,549.77
  6. Step 6: Final answer
    x = 17,220.54

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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.