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Finding the Fourth Proportional to 22,674, 31,292.04 and 12,739.92

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Solution

The fourth proportional to 22,674, 31,292.04 and 12,739.92 is: 17,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674 : 31,292.04 = 12,739.92 : x
  2. Step 2: Convert to fraction form
    22,674/31,292.04 = 12,739.92/x
  3. Step 3: Cross multiply
    22,674x = 31,292.04 × 12,739.92
  4. Step 4: Simplify right side
    22,674x = 398,658,086.24
  5. Step 5: Solve for x
    x = 398,658,086.24/22,674
  6. Step 6: Final answer
    x = 17,582.17

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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.