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Finding the Fourth Proportional to 20,888.26, 31,332.48 and 7,046.98

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Solution

The fourth proportional to 20,888.26, 31,332.48 and 7,046.98 is: 10,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.26 : 31,332.48 = 7,046.98 : x
  2. Step 2: Convert to fraction form
    20,888.26/31,332.48 = 7,046.98/x
  3. Step 3: Cross multiply
    20,888.26x = 31,332.48 × 7,046.98
  4. Step 4: Simplify right side
    20,888.26x = 220,799,359.91
  5. Step 5: Solve for x
    x = 220,799,359.91/20,888.26
  6. Step 6: Final answer
    x = 10,570.50

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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.