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Finding the Fourth Proportional to 23,967.90, 35,934.87 and 9,164.34

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Solution

The fourth proportional to 23,967.90, 35,934.87 and 9,164.34 is: 13,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.90 : 35,934.87 = 9,164.34 : x
  2. Step 2: Convert to fraction form
    23,967.90/35,934.87 = 9,164.34/x
  3. Step 3: Cross multiply
    23,967.90x = 35,934.87 × 9,164.34
  4. Step 4: Simplify right side
    23,967.90x = 329,319,366.54
  5. Step 5: Solve for x
    x = 329,319,366.54/23,967.90
  6. Step 6: Final answer
    x = 13,740.02

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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.