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Finding the Fourth Proportional to 23,623.87, 35,435.76 and 8,041.50

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Solution

The fourth proportional to 23,623.87, 35,435.76 and 8,041.50 is: 12,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,623.87 : 35,435.76 = 8,041.50 : x
  2. Step 2: Convert to fraction form
    23,623.87/35,435.76 = 8,041.50/x
  3. Step 3: Cross multiply
    23,623.87x = 35,435.76 × 8,041.50
  4. Step 4: Simplify right side
    23,623.87x = 284,956,664.04
  5. Step 5: Solve for x
    x = 284,956,664.04/23,623.87
  6. Step 6: Final answer
    x = 12,062.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.