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Finding the Fourth Proportional to 23,917.34, 35,875.98 and 8,324

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Solution

The fourth proportional to 23,917.34, 35,875.98 and 8,324 is: 12,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.34 : 35,875.98 = 8,324 : x
  2. Step 2: Convert to fraction form
    23,917.34/35,875.98 = 8,324/x
  3. Step 3: Cross multiply
    23,917.34x = 35,875.98 × 8,324
  4. Step 4: Simplify right side
    23,917.34x = 298,631,657.52
  5. Step 5: Solve for x
    x = 298,631,657.52/23,917.34
  6. Step 6: Final answer
    x = 12,485.99

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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.