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Finding the Fourth Proportional to 10,023.60, 15,030.78 and 2,906.22

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Solution

The fourth proportional to 10,023.60, 15,030.78 and 2,906.22 is: 4,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.60 : 15,030.78 = 2,906.22 : x
  2. Step 2: Convert to fraction form
    10,023.60/15,030.78 = 2,906.22/x
  3. Step 3: Cross multiply
    10,023.60x = 15,030.78 × 2,906.22
  4. Step 4: Simplify right side
    10,023.60x = 43,682,753.45
  5. Step 5: Solve for x
    x = 43,682,753.45/10,023.60
  6. Step 6: Final answer
    x = 4,357.99

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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.