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Finding the Fourth Proportional to 20,666.32, 31,007.76 and 7,519.60

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Solution

The fourth proportional to 20,666.32, 31,007.76 and 7,519.60 is: 11,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.32 : 31,007.76 = 7,519.60 : x
  2. Step 2: Convert to fraction form
    20,666.32/31,007.76 = 7,519.60/x
  3. Step 3: Cross multiply
    20,666.32x = 31,007.76 × 7,519.60
  4. Step 4: Simplify right side
    20,666.32x = 233,165,952.10
  5. Step 5: Solve for x
    x = 233,165,952.10/20,666.32
  6. Step 6: Final answer
    x = 11,282.41

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