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Finding the Fourth Proportional to 26,817.50, 40,222.78 and 7,097.58

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Solution

The fourth proportional to 26,817.50, 40,222.78 and 7,097.58 is: 10,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,817.50 : 40,222.78 = 7,097.58 : x
  2. Step 2: Convert to fraction form
    26,817.50/40,222.78 = 7,097.58/x
  3. Step 3: Cross multiply
    26,817.50x = 40,222.78 × 7,097.58
  4. Step 4: Simplify right side
    26,817.50x = 285,484,381.13
  5. Step 5: Solve for x
    x = 285,484,381.13/26,817.50
  6. Step 6: Final answer
    x = 10,645.45

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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.