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Finding the Fourth Proportional to 15,734.08, 21,713 and 9,446.44

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Solution

The fourth proportional to 15,734.08, 21,713 and 9,446.44 is: 13,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.08 : 21,713 = 9,446.44 : x
  2. Step 2: Convert to fraction form
    15,734.08/21,713 = 9,446.44/x
  3. Step 3: Cross multiply
    15,734.08x = 21,713 × 9,446.44
  4. Step 4: Simplify right side
    15,734.08x = 205,110,551.72
  5. Step 5: Solve for x
    x = 205,110,551.72/15,734.08
  6. Step 6: Final answer
    x = 13,036.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.