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Finding the Fourth Proportional to 23,498.93, 35,251.74 and 7,700.58

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Solution

The fourth proportional to 23,498.93, 35,251.74 and 7,700.58 is: 11,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.93 : 35,251.74 = 7,700.58 : x
  2. Step 2: Convert to fraction form
    23,498.93/35,251.74 = 7,700.58/x
  3. Step 3: Cross multiply
    23,498.93x = 35,251.74 × 7,700.58
  4. Step 4: Simplify right side
    23,498.93x = 271,458,844.01
  5. Step 5: Solve for x
    x = 271,458,844.01/23,498.93
  6. Step 6: Final answer
    x = 11,551.96

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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.