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Finding the Fourth Proportional to 26,852.76, 40,273.07 and 10,206.86

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Solution

The fourth proportional to 26,852.76, 40,273.07 and 10,206.86 is: 15,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,852.76 : 40,273.07 = 10,206.86 : x
  2. Step 2: Convert to fraction form
    26,852.76/40,273.07 = 10,206.86/x
  3. Step 3: Cross multiply
    26,852.76x = 40,273.07 × 10,206.86
  4. Step 4: Simplify right side
    26,852.76x = 411,061,334.86
  5. Step 5: Solve for x
    x = 411,061,334.86/26,852.76
  6. Step 6: Final answer
    x = 15,307.97

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