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Finding the Fourth Proportional to 24,097.86, 35,982.79 and 21,263.06

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Solution

The fourth proportional to 24,097.86, 35,982.79 and 21,263.06 is: 31,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.86 : 35,982.79 = 21,263.06 : x
  2. Step 2: Convert to fraction form
    24,097.86/35,982.79 = 21,263.06/x
  3. Step 3: Cross multiply
    24,097.86x = 35,982.79 × 21,263.06
  4. Step 4: Simplify right side
    24,097.86x = 765,104,259.54
  5. Step 5: Solve for x
    x = 765,104,259.54/24,097.86
  6. Step 6: Final answer
    x = 31,749.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.