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Finding the Fourth Proportional to 23,987.82, 35,978.48 and 6,458.70

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Solution

The fourth proportional to 23,987.82, 35,978.48 and 6,458.70 is: 9,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,987.82 : 35,978.48 = 6,458.70 : x
  2. Step 2: Convert to fraction form
    23,987.82/35,978.48 = 6,458.70/x
  3. Step 3: Cross multiply
    23,987.82x = 35,978.48 × 6,458.70
  4. Step 4: Simplify right side
    23,987.82x = 232,374,208.78
  5. Step 5: Solve for x
    x = 232,374,208.78/23,987.82
  6. Step 6: Final answer
    x = 9,687.17

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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.