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Finding the Fourth Proportional to 26,143.80, 39,209.82 and 7,423.44

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Solution

The fourth proportional to 26,143.80, 39,209.82 and 7,423.44 is: 11,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143.80 : 39,209.82 = 7,423.44 : x
  2. Step 2: Convert to fraction form
    26,143.80/39,209.82 = 7,423.44/x
  3. Step 3: Cross multiply
    26,143.80x = 39,209.82 × 7,423.44
  4. Step 4: Simplify right side
    26,143.80x = 291,071,746.18
  5. Step 5: Solve for x
    x = 291,071,746.18/26,143.80
  6. Step 6: Final answer
    x = 11,133.49

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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.