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Finding the Fourth Proportional to 15,809.94, 23,714.81 and 6,449.91

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Solution

The fourth proportional to 15,809.94, 23,714.81 and 6,449.91 is: 9,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.94 : 23,714.81 = 6,449.91 : x
  2. Step 2: Convert to fraction form
    15,809.94/23,714.81 = 6,449.91/x
  3. Step 3: Cross multiply
    15,809.94x = 23,714.81 × 6,449.91
  4. Step 4: Simplify right side
    15,809.94x = 152,958,357.92
  5. Step 5: Solve for x
    x = 152,958,357.92/15,809.94
  6. Step 6: Final answer
    x = 9,674.82

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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.