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Finding the Fourth Proportional to 20,952.08, 31,418.28 and 7,804.16

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Solution

The fourth proportional to 20,952.08, 31,418.28 and 7,804.16 is: 11,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.08 : 31,418.28 = 7,804.16 : x
  2. Step 2: Convert to fraction form
    20,952.08/31,418.28 = 7,804.16/x
  3. Step 3: Cross multiply
    20,952.08x = 31,418.28 × 7,804.16
  4. Step 4: Simplify right side
    20,952.08x = 245,193,284.04
  5. Step 5: Solve for x
    x = 245,193,284.04/20,952.08
  6. Step 6: Final answer
    x = 11,702.57

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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.