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Finding the Fourth Proportional to 26,374.48, 36,406 and 16,310.64

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Solution

The fourth proportional to 26,374.48, 36,406 and 16,310.64 is: 22,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,374.48 : 36,406 = 16,310.64 : x
  2. Step 2: Convert to fraction form
    26,374.48/36,406 = 16,310.64/x
  3. Step 3: Cross multiply
    26,374.48x = 36,406 × 16,310.64
  4. Step 4: Simplify right side
    26,374.48x = 593,805,159.84
  5. Step 5: Solve for x
    x = 593,805,159.84/26,374.48
  6. Step 6: Final answer
    x = 22,514.38

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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.