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Finding the Fourth Proportional to 20,307.52, 30,463.84 and 7,827.20

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Solution

The fourth proportional to 20,307.52, 30,463.84 and 7,827.20 is: 11,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.52 : 30,463.84 = 7,827.20 : x
  2. Step 2: Convert to fraction form
    20,307.52/30,463.84 = 7,827.20/x
  3. Step 3: Cross multiply
    20,307.52x = 30,463.84 × 7,827.20
  4. Step 4: Simplify right side
    20,307.52x = 238,446,568.45
  5. Step 5: Solve for x
    x = 238,446,568.45/20,307.52
  6. Step 6: Final answer
    x = 11,741.79

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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.