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Finding the Fourth Proportional to 24,788, 34,236.60 and 16,816.39

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Solution

The fourth proportional to 24,788, 34,236.60 and 16,816.39 is: 23,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788 : 34,236.60 = 16,816.39 : x
  2. Step 2: Convert to fraction form
    24,788/34,236.60 = 16,816.39/x
  3. Step 3: Cross multiply
    24,788x = 34,236.60 × 16,816.39
  4. Step 4: Simplify right side
    24,788x = 575,736,017.87
  5. Step 5: Solve for x
    x = 575,736,017.87/24,788
  6. Step 6: Final answer
    x = 23,226.40

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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.