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Finding the Fourth Proportional to 26,674.50, 36,810.66 and 14,737.84

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Solution

The fourth proportional to 26,674.50, 36,810.66 and 14,737.84 is: 20,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,674.50 : 36,810.66 = 14,737.84 : x
  2. Step 2: Convert to fraction form
    26,674.50/36,810.66 = 14,737.84/x
  3. Step 3: Cross multiply
    26,674.50x = 36,810.66 × 14,737.84
  4. Step 4: Simplify right side
    26,674.50x = 542,509,617.37
  5. Step 5: Solve for x
    x = 542,509,617.37/26,674.50
  6. Step 6: Final answer
    x = 20,338.14

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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.