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Finding the Fourth Proportional to 26,822.16, 40,224.10 and 9,287.88

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Solution

The fourth proportional to 26,822.16, 40,224.10 and 9,287.88 is: 13,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.16 : 40,224.10 = 9,287.88 : x
  2. Step 2: Convert to fraction form
    26,822.16/40,224.10 = 9,287.88/x
  3. Step 3: Cross multiply
    26,822.16x = 40,224.10 × 9,287.88
  4. Step 4: Simplify right side
    26,822.16x = 373,596,613.91
  5. Step 5: Solve for x
    x = 373,596,613.91/26,822.16
  6. Step 6: Final answer
    x = 13,928.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.