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Finding the Fourth Proportional to 26,564.92, 39,828.86 and 11,765.76

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Solution

The fourth proportional to 26,564.92, 39,828.86 and 11,765.76 is: 17,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.92 : 39,828.86 = 11,765.76 : x
  2. Step 2: Convert to fraction form
    26,564.92/39,828.86 = 11,765.76/x
  3. Step 3: Cross multiply
    26,564.92x = 39,828.86 × 11,765.76
  4. Step 4: Simplify right side
    26,564.92x = 468,616,807.83
  5. Step 5: Solve for x
    x = 468,616,807.83/26,564.92
  6. Step 6: Final answer
    x = 17,640.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.