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Finding the Fourth Proportional to 22,953.77, 31,679.38 and 12,882.81

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Solution

The fourth proportional to 22,953.77, 31,679.38 and 12,882.81 is: 17,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.77 : 31,679.38 = 12,882.81 : x
  2. Step 2: Convert to fraction form
    22,953.77/31,679.38 = 12,882.81/x
  3. Step 3: Cross multiply
    22,953.77x = 31,679.38 × 12,882.81
  4. Step 4: Simplify right side
    22,953.77x = 408,119,433.46
  5. Step 5: Solve for x
    x = 408,119,433.46/22,953.77
  6. Step 6: Final answer
    x = 17,780.06

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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.