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Finding the Fourth Proportional to 22,812.16, 31,473.39 and 12,739

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Solution

The fourth proportional to 22,812.16, 31,473.39 and 12,739 is: 17,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.16 : 31,473.39 = 12,739 : x
  2. Step 2: Convert to fraction form
    22,812.16/31,473.39 = 12,739/x
  3. Step 3: Cross multiply
    22,812.16x = 31,473.39 × 12,739
  4. Step 4: Simplify right side
    22,812.16x = 400,939,515.21
  5. Step 5: Solve for x
    x = 400,939,515.21/22,812.16
  6. Step 6: Final answer
    x = 17,575.69

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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.