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Finding the Fourth Proportional to 20,565.70, 30,837.00 and 6,523.11

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Solution

The fourth proportional to 20,565.70, 30,837.00 and 6,523.11 is: 9,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.70 : 30,837.00 = 6,523.11 : x
  2. Step 2: Convert to fraction form
    20,565.70/30,837.00 = 6,523.11/x
  3. Step 3: Cross multiply
    20,565.70x = 30,837.00 × 6,523.11
  4. Step 4: Simplify right side
    20,565.70x = 201,153,080.80
  5. Step 5: Solve for x
    x = 201,153,080.80/20,565.70
  6. Step 6: Final answer
    x = 9,781.00

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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.