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Finding the Fourth Proportional to 23,681.93, 35,497.86 and 7,882.74

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Solution

The fourth proportional to 23,681.93, 35,497.86 and 7,882.74 is: 11,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.93 : 35,497.86 = 7,882.74 : x
  2. Step 2: Convert to fraction form
    23,681.93/35,497.86 = 7,882.74/x
  3. Step 3: Cross multiply
    23,681.93x = 35,497.86 × 7,882.74
  4. Step 4: Simplify right side
    23,681.93x = 279,820,474.87
  5. Step 5: Solve for x
    x = 279,820,474.87/23,681.93
  6. Step 6: Final answer
    x = 11,815.78

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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.