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Finding the Fourth Proportional to 20,807.64, 31,214.51 and 7,658.91

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Solution

The fourth proportional to 20,807.64, 31,214.51 and 7,658.91 is: 11,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.64 : 31,214.51 = 7,658.91 : x
  2. Step 2: Convert to fraction form
    20,807.64/31,214.51 = 7,658.91/x
  3. Step 3: Cross multiply
    20,807.64x = 31,214.51 × 7,658.91
  4. Step 4: Simplify right side
    20,807.64x = 239,069,122.78
  5. Step 5: Solve for x
    x = 239,069,122.78/20,807.64
  6. Step 6: Final answer
    x = 11,489.49

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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.