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Finding the Fourth Proportional to 22,812.30, 31,479.75 and 12,740.70

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Solution

The fourth proportional to 22,812.30, 31,479.75 and 12,740.70 is: 17,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.30 : 31,479.75 = 12,740.70 : x
  2. Step 2: Convert to fraction form
    22,812.30/31,479.75 = 12,740.70/x
  3. Step 3: Cross multiply
    22,812.30x = 31,479.75 × 12,740.70
  4. Step 4: Simplify right side
    22,812.30x = 401,074,050.83
  5. Step 5: Solve for x
    x = 401,074,050.83/22,812.30
  6. Step 6: Final answer
    x = 17,581.48

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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.