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Finding the Fourth Proportional to 23,009.20, 32,174 and 23,009.20

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Solution

The fourth proportional to 23,009.20, 32,174 and 23,009.20 is: 32,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.20 : 32,174 = 23,009.20 : x
  2. Step 2: Convert to fraction form
    23,009.20/32,174 = 23,009.20/x
  3. Step 3: Cross multiply
    23,009.20x = 32,174 × 23,009.20
  4. Step 4: Simplify right side
    23,009.20x = 740,298,000.80
  5. Step 5: Solve for x
    x = 740,298,000.80/23,009.20
  6. Step 6: Final answer
    x = 32,174.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.