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Finding the Fourth Proportional to 23,486.88, 35,235.52 and 7,904

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Solution

The fourth proportional to 23,486.88, 35,235.52 and 7,904 is: 11,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.88 : 35,235.52 = 7,904 : x
  2. Step 2: Convert to fraction form
    23,486.88/35,235.52 = 7,904/x
  3. Step 3: Cross multiply
    23,486.88x = 35,235.52 × 7,904
  4. Step 4: Simplify right side
    23,486.88x = 278,501,550.08
  5. Step 5: Solve for x
    x = 278,501,550.08/23,486.88
  6. Step 6: Final answer
    x = 11,857.75

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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.