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Finding the Fourth Proportional to 22,814.49, 31,483.66 and 12,743.07

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Solution

The fourth proportional to 22,814.49, 31,483.66 and 12,743.07 is: 17,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.49 : 31,483.66 = 12,743.07 : x
  2. Step 2: Convert to fraction form
    22,814.49/31,483.66 = 12,743.07/x
  3. Step 3: Cross multiply
    22,814.49x = 31,483.66 × 12,743.07
  4. Step 4: Simplify right side
    22,814.49x = 401,198,451.38
  5. Step 5: Solve for x
    x = 401,198,451.38/22,814.49
  6. Step 6: Final answer
    x = 17,585.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.