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Finding the Fourth Proportional to 15,734.94, 21,714.23 and 8,661.32

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Solution

The fourth proportional to 15,734.94, 21,714.23 and 8,661.32 is: 11,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.94 : 21,714.23 = 8,661.32 : x
  2. Step 2: Convert to fraction form
    15,734.94/21,714.23 = 8,661.32/x
  3. Step 3: Cross multiply
    15,734.94x = 21,714.23 × 8,661.32
  4. Step 4: Simplify right side
    15,734.94x = 188,073,742.71
  5. Step 5: Solve for x
    x = 188,073,742.71/15,734.94
  6. Step 6: Final answer
    x = 11,952.62

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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.