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Finding the Fourth Proportional to 26,378.38, 36,402.17 and 14,441.71

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Solution

The fourth proportional to 26,378.38, 36,402.17 and 14,441.71 is: 19,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378.38 : 36,402.17 = 14,441.71 : x
  2. Step 2: Convert to fraction form
    26,378.38/36,402.17 = 14,441.71/x
  3. Step 3: Cross multiply
    26,378.38x = 36,402.17 × 14,441.71
  4. Step 4: Simplify right side
    26,378.38x = 525,709,582.51
  5. Step 5: Solve for x
    x = 525,709,582.51/26,378.38
  6. Step 6: Final answer
    x = 19,929.56

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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.