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Finding the Fourth Proportional to 22,785.51, 31,446.44 and 12,717.45

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Solution

The fourth proportional to 22,785.51, 31,446.44 and 12,717.45 is: 17,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.51 : 31,446.44 = 12,717.45 : x
  2. Step 2: Convert to fraction form
    22,785.51/31,446.44 = 12,717.45/x
  3. Step 3: Cross multiply
    22,785.51x = 31,446.44 × 12,717.45
  4. Step 4: Simplify right side
    22,785.51x = 399,918,528.38
  5. Step 5: Solve for x
    x = 399,918,528.38/22,785.51
  6. Step 6: Final answer
    x = 17,551.44

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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.