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Finding the Fourth Proportional to 20,807.69, 31,207.46 and 17,320.10

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Solution

The fourth proportional to 20,807.69, 31,207.46 and 17,320.10 is: 25,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.69 : 31,207.46 = 17,320.10 : x
  2. Step 2: Convert to fraction form
    20,807.69/31,207.46 = 17,320.10/x
  3. Step 3: Cross multiply
    20,807.69x = 31,207.46 × 17,320.10
  4. Step 4: Simplify right side
    20,807.69x = 540,516,085.31
  5. Step 5: Solve for x
    x = 540,516,085.31/20,807.69
  6. Step 6: Final answer
    x = 25,976.75

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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.