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Finding the Fourth Proportional to 17,770.50, 24,522.96 and 9,812.52

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Solution

The fourth proportional to 17,770.50, 24,522.96 and 9,812.52 is: 13,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.50 : 24,522.96 = 9,812.52 : x
  2. Step 2: Convert to fraction form
    17,770.50/24,522.96 = 9,812.52/x
  3. Step 3: Cross multiply
    17,770.50x = 24,522.96 × 9,812.52
  4. Step 4: Simplify right side
    17,770.50x = 240,632,035.46
  5. Step 5: Solve for x
    x = 240,632,035.46/17,770.50
  6. Step 6: Final answer
    x = 13,541.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.