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Finding the Fourth Proportional to 23,714.97, 35,573.85 and 8,924.02

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Solution

The fourth proportional to 23,714.97, 35,573.85 and 8,924.02 is: 13,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.97 : 35,573.85 = 8,924.02 : x
  2. Step 2: Convert to fraction form
    23,714.97/35,573.85 = 8,924.02/x
  3. Step 3: Cross multiply
    23,714.97x = 35,573.85 × 8,924.02
  4. Step 4: Simplify right side
    23,714.97x = 317,461,526.39
  5. Step 5: Solve for x
    x = 317,461,526.39/23,714.97
  6. Step 6: Final answer
    x = 13,386.55

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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.