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Finding the Fourth Proportional to 23,002.31, 34,503.41 and 7,208.55

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Solution

The fourth proportional to 23,002.31, 34,503.41 and 7,208.55 is: 10,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.31 : 34,503.41 = 7,208.55 : x
  2. Step 2: Convert to fraction form
    23,002.31/34,503.41 = 7,208.55/x
  3. Step 3: Cross multiply
    23,002.31x = 34,503.41 × 7,208.55
  4. Step 4: Simplify right side
    23,002.31x = 248,719,574.18
  5. Step 5: Solve for x
    x = 248,719,574.18/23,002.31
  6. Step 6: Final answer
    x = 10,812.81

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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.