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Finding the Fourth Proportional to 26,823.17, 40,236.55 and 7,101.47

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Solution

The fourth proportional to 26,823.17, 40,236.55 and 7,101.47 is: 10,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.17 : 40,236.55 = 7,101.47 : x
  2. Step 2: Convert to fraction form
    26,823.17/40,236.55 = 7,101.47/x
  3. Step 3: Cross multiply
    26,823.17x = 40,236.55 × 7,101.47
  4. Step 4: Simplify right side
    26,823.17x = 285,738,433.79
  5. Step 5: Solve for x
    x = 285,738,433.79/26,823.17
  6. Step 6: Final answer
    x = 10,652.67

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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.