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Finding the Fourth Proportional to 26,246, 36,219.48 and 16,816.38

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Solution

The fourth proportional to 26,246, 36,219.48 and 16,816.38 is: 23,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,246 : 36,219.48 = 16,816.38 : x
  2. Step 2: Convert to fraction form
    26,246/36,219.48 = 16,816.38/x
  3. Step 3: Cross multiply
    26,246x = 36,219.48 × 16,816.38
  4. Step 4: Simplify right side
    26,246x = 609,080,539.08
  5. Step 5: Solve for x
    x = 609,080,539.08/26,246
  6. Step 6: Final answer
    x = 23,206.60

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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.