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Finding the Fourth Proportional to 26,654.16, 36,774 and 16,039.92

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Solution

The fourth proportional to 26,654.16, 36,774 and 16,039.92 is: 22,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,654.16 : 36,774 = 16,039.92 : x
  2. Step 2: Convert to fraction form
    26,654.16/36,774 = 16,039.92/x
  3. Step 3: Cross multiply
    26,654.16x = 36,774 × 16,039.92
  4. Step 4: Simplify right side
    26,654.16x = 589,852,018.08
  5. Step 5: Solve for x
    x = 589,852,018.08/26,654.16
  6. Step 6: Final answer
    x = 22,129.83

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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.