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Finding the Fourth Proportional to 15,577.28, 23,365.06 and 6,812.17

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Solution

The fourth proportional to 15,577.28, 23,365.06 and 6,812.17 is: 10,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.28 : 23,365.06 = 6,812.17 : x
  2. Step 2: Convert to fraction form
    15,577.28/23,365.06 = 6,812.17/x
  3. Step 3: Cross multiply
    15,577.28x = 23,365.06 × 6,812.17
  4. Step 4: Simplify right side
    15,577.28x = 159,166,685.34
  5. Step 5: Solve for x
    x = 159,166,685.34/15,577.28
  6. Step 6: Final answer
    x = 10,217.87

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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.