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Finding the Fourth Proportional to 23,978.07, 35,969.58 and 9,199.35

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Solution

The fourth proportional to 23,978.07, 35,969.58 and 9,199.35 is: 13,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.07 : 35,969.58 = 9,199.35 : x
  2. Step 2: Convert to fraction form
    23,978.07/35,969.58 = 9,199.35/x
  3. Step 3: Cross multiply
    23,978.07x = 35,969.58 × 9,199.35
  4. Step 4: Simplify right side
    23,978.07x = 330,896,755.77
  5. Step 5: Solve for x
    x = 330,896,755.77/23,978.07
  6. Step 6: Final answer
    x = 13,799.97

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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.