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Finding the Fourth Proportional to 20,597.84, 30,902.16 and 8,908.32

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Solution

The fourth proportional to 20,597.84, 30,902.16 and 8,908.32 is: 13,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.84 : 30,902.16 = 8,908.32 : x
  2. Step 2: Convert to fraction form
    20,597.84/30,902.16 = 8,908.32/x
  3. Step 3: Cross multiply
    20,597.84x = 30,902.16 × 8,908.32
  4. Step 4: Simplify right side
    20,597.84x = 275,286,329.97
  5. Step 5: Solve for x
    x = 275,286,329.97/20,597.84
  6. Step 6: Final answer
    x = 13,364.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.