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Finding the Fourth Proportional to 26,347.27, 36,359.76 and 14,411.38

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Solution

The fourth proportional to 26,347.27, 36,359.76 and 14,411.38 is: 19,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,347.27 : 36,359.76 = 14,411.38 : x
  2. Step 2: Convert to fraction form
    26,347.27/36,359.76 = 14,411.38/x
  3. Step 3: Cross multiply
    26,347.27x = 36,359.76 × 14,411.38
  4. Step 4: Simplify right side
    26,347.27x = 523,994,318.07
  5. Step 5: Solve for x
    x = 523,994,318.07/26,347.27
  6. Step 6: Final answer
    x = 19,887.99

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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.