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Finding the Fourth Proportional to 17,770.18, 24,522.84 and 9,812.38

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Solution

The fourth proportional to 17,770.18, 24,522.84 and 9,812.38 is: 13,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.18 : 24,522.84 = 9,812.38 : x
  2. Step 2: Convert to fraction form
    17,770.18/24,522.84 = 9,812.38/x
  3. Step 3: Cross multiply
    17,770.18x = 24,522.84 × 9,812.38
  4. Step 4: Simplify right side
    17,770.18x = 240,627,424.76
  5. Step 5: Solve for x
    x = 240,627,424.76/17,770.18
  6. Step 6: Final answer
    x = 13,541.08

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Why These Related Problems?

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