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Finding the Fourth Proportional to 23,809.79, 35,714.98 and 16,412.26

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Solution

The fourth proportional to 23,809.79, 35,714.98 and 16,412.26 is: 24,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.79 : 35,714.98 = 16,412.26 : x
  2. Step 2: Convert to fraction form
    23,809.79/35,714.98 = 16,412.26/x
  3. Step 3: Cross multiply
    23,809.79x = 35,714.98 × 16,412.26
  4. Step 4: Simplify right side
    23,809.79x = 586,163,537.65
  5. Step 5: Solve for x
    x = 586,163,537.65/23,809.79
  6. Step 6: Final answer
    x = 24,618.59

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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.