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Finding the Fourth Proportional to 22,728.42, 31,364.97 and 12,656.64

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Solution

The fourth proportional to 22,728.42, 31,364.97 and 12,656.64 is: 17,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.42 : 31,364.97 = 12,656.64 : x
  2. Step 2: Convert to fraction form
    22,728.42/31,364.97 = 12,656.64/x
  3. Step 3: Cross multiply
    22,728.42x = 31,364.97 × 12,656.64
  4. Step 4: Simplify right side
    22,728.42x = 396,975,133.90
  5. Step 5: Solve for x
    x = 396,975,133.90/22,728.42
  6. Step 6: Final answer
    x = 17,466.02

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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.