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Finding the Fourth Proportional to 24,598.32, 33,924.60 and 16,206

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Solution

The fourth proportional to 24,598.32, 33,924.60 and 16,206 is: 22,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.32 : 33,924.60 = 16,206 : x
  2. Step 2: Convert to fraction form
    24,598.32/33,924.60 = 16,206/x
  3. Step 3: Cross multiply
    24,598.32x = 33,924.60 × 16,206
  4. Step 4: Simplify right side
    24,598.32x = 549,782,067.60
  5. Step 5: Solve for x
    x = 549,782,067.60/24,598.32
  6. Step 6: Final answer
    x = 22,350.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.