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Finding the Fourth Proportional to 22,597.50, 31,195.38 and 15,888.84

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Solution

The fourth proportional to 22,597.50, 31,195.38 and 15,888.84 is: 21,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.50 : 31,195.38 = 15,888.84 : x
  2. Step 2: Convert to fraction form
    22,597.50/31,195.38 = 15,888.84/x
  3. Step 3: Cross multiply
    22,597.50x = 31,195.38 × 15,888.84
  4. Step 4: Simplify right side
    22,597.50x = 495,658,401.56
  5. Step 5: Solve for x
    x = 495,658,401.56/22,597.50
  6. Step 6: Final answer
    x = 21,934.21

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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.