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Finding the Fourth Proportional to 22,777.64, 31,433.38 and 12,707

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Solution

The fourth proportional to 22,777.64, 31,433.38 and 12,707 is: 17,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.64 : 31,433.38 = 12,707 : x
  2. Step 2: Convert to fraction form
    22,777.64/31,433.38 = 12,707/x
  3. Step 3: Cross multiply
    22,777.64x = 31,433.38 × 12,707
  4. Step 4: Simplify right side
    22,777.64x = 399,423,959.66
  5. Step 5: Solve for x
    x = 399,423,959.66/22,777.64
  6. Step 6: Final answer
    x = 17,535.79

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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.