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Finding the Fourth Proportional to 21,651.74, 32,473.95 and 6,065.78

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Solution

The fourth proportional to 21,651.74, 32,473.95 and 6,065.78 is: 9,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651.74 : 32,473.95 = 6,065.78 : x
  2. Step 2: Convert to fraction form
    21,651.74/32,473.95 = 6,065.78/x
  3. Step 3: Cross multiply
    21,651.74x = 32,473.95 × 6,065.78
  4. Step 4: Simplify right side
    21,651.74x = 196,979,836.43
  5. Step 5: Solve for x
    x = 196,979,836.43/21,651.74
  6. Step 6: Final answer
    x = 9,097.64

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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.