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Finding the Fourth Proportional to 15,597.12, 23,401.71 and 6,833.28

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Solution

The fourth proportional to 15,597.12, 23,401.71 and 6,833.28 is: 10,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.12 : 23,401.71 = 6,833.28 : x
  2. Step 2: Convert to fraction form
    15,597.12/23,401.71 = 6,833.28/x
  3. Step 3: Cross multiply
    15,597.12x = 23,401.71 × 6,833.28
  4. Step 4: Simplify right side
    15,597.12x = 159,910,436.91
  5. Step 5: Solve for x
    x = 159,910,436.91/15,597.12
  6. Step 6: Final answer
    x = 10,252.56

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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.