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Finding the Fourth Proportional to 23,978.01, 35,966.95 and 6,447.86

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Solution

The fourth proportional to 23,978.01, 35,966.95 and 6,447.86 is: 9,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.01 : 35,966.95 = 6,447.86 : x
  2. Step 2: Convert to fraction form
    23,978.01/35,966.95 = 6,447.86/x
  3. Step 3: Cross multiply
    23,978.01x = 35,966.95 × 6,447.86
  4. Step 4: Simplify right side
    23,978.01x = 231,909,858.23
  5. Step 5: Solve for x
    x = 231,909,858.23/23,978.01
  6. Step 6: Final answer
    x = 9,671.77

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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.