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Finding the Fourth Proportional to 23,750.02, 35,628.68 and 8,164

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Solution

The fourth proportional to 23,750.02, 35,628.68 and 8,164 is: 12,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,750.02 : 35,628.68 = 8,164 : x
  2. Step 2: Convert to fraction form
    23,750.02/35,628.68 = 8,164/x
  3. Step 3: Cross multiply
    23,750.02x = 35,628.68 × 8,164
  4. Step 4: Simplify right side
    23,750.02x = 290,872,543.52
  5. Step 5: Solve for x
    x = 290,872,543.52/23,750.02
  6. Step 6: Final answer
    x = 12,247.25

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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.