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Finding the Fourth Proportional to 23,809.58, 35,714.72 and 9,014.52

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Solution

The fourth proportional to 23,809.58, 35,714.72 and 9,014.52 is: 13,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.58 : 35,714.72 = 9,014.52 : x
  2. Step 2: Convert to fraction form
    23,809.58/35,714.72 = 9,014.52/x
  3. Step 3: Cross multiply
    23,809.58x = 35,714.72 × 9,014.52
  4. Step 4: Simplify right side
    23,809.58x = 321,951,012.66
  5. Step 5: Solve for x
    x = 321,951,012.66/23,809.58
  6. Step 6: Final answer
    x = 13,521.91

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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.