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Finding the Fourth Proportional to 23,730.42, 35,601.08 and 8,148

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Solution

The fourth proportional to 23,730.42, 35,601.08 and 8,148 is: 12,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.42 : 35,601.08 = 8,148 : x
  2. Step 2: Convert to fraction form
    23,730.42/35,601.08 = 8,148/x
  3. Step 3: Cross multiply
    23,730.42x = 35,601.08 × 8,148
  4. Step 4: Simplify right side
    23,730.42x = 290,077,559.10
  5. Step 5: Solve for x
    x = 290,077,559.10/23,730.42
  6. Step 6: Final answer
    x = 12,223.87

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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.