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Finding the Fourth Proportional to 22,823.40, 34,235.18 and 7,028.34

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Solution

The fourth proportional to 22,823.40, 34,235.18 and 7,028.34 is: 10,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.40 : 34,235.18 = 7,028.34 : x
  2. Step 2: Convert to fraction form
    22,823.40/34,235.18 = 7,028.34/x
  3. Step 3: Cross multiply
    22,823.40x = 34,235.18 × 7,028.34
  4. Step 4: Simplify right side
    22,823.40x = 240,616,449.86
  5. Step 5: Solve for x
    x = 240,616,449.86/22,823.40
  6. Step 6: Final answer
    x = 10,542.53

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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.