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Finding the Fourth Proportional to 20,952.16, 31,439.04 and 11,590.48

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Solution

The fourth proportional to 20,952.16, 31,439.04 and 11,590.48 is: 17,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.16 : 31,439.04 = 11,590.48 : x
  2. Step 2: Convert to fraction form
    20,952.16/31,439.04 = 11,590.48/x
  3. Step 3: Cross multiply
    20,952.16x = 31,439.04 × 11,590.48
  4. Step 4: Simplify right side
    20,952.16x = 364,393,564.34
  5. Step 5: Solve for x
    x = 364,393,564.34/20,952.16
  6. Step 6: Final answer
    x = 17,391.69

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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.