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Finding the Fourth Proportional to 23,684.41, 35,519.22 and 7,885.76

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Solution

The fourth proportional to 23,684.41, 35,519.22 and 7,885.76 is: 11,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.41 : 35,519.22 = 7,885.76 : x
  2. Step 2: Convert to fraction form
    23,684.41/35,519.22 = 7,885.76/x
  3. Step 3: Cross multiply
    23,684.41x = 35,519.22 × 7,885.76
  4. Step 4: Simplify right side
    23,684.41x = 280,095,866.71
  5. Step 5: Solve for x
    x = 280,095,866.71/23,684.41
  6. Step 6: Final answer
    x = 11,826.17

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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.