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Finding the Fourth Proportional to 26,407, 36,441.66 and 14,470.79

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Solution

The fourth proportional to 26,407, 36,441.66 and 14,470.79 is: 19,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407 : 36,441.66 = 14,470.79 : x
  2. Step 2: Convert to fraction form
    26,407/36,441.66 = 14,470.79/x
  3. Step 3: Cross multiply
    26,407x = 36,441.66 × 14,470.79
  4. Step 4: Simplify right side
    26,407x = 527,339,609.11
  5. Step 5: Solve for x
    x = 527,339,609.11/26,407
  6. Step 6: Final answer
    x = 19,969.69

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1.5x scale

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.