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Finding the Fourth Proportional to 15,580.28, 23,369.56 and 6,815.17

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Solution

The fourth proportional to 15,580.28, 23,369.56 and 6,815.17 is: 10,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.28 : 23,369.56 = 6,815.17 : x
  2. Step 2: Convert to fraction form
    15,580.28/23,369.56 = 6,815.17/x
  3. Step 3: Cross multiply
    15,580.28x = 23,369.56 × 6,815.17
  4. Step 4: Simplify right side
    15,580.28x = 159,267,524.23
  5. Step 5: Solve for x
    x = 159,267,524.23/15,580.28
  6. Step 6: Final answer
    x = 10,222.38

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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.