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Finding the Fourth Proportional to 13,068, 19,604.43 and 6,142.50

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Solution

The fourth proportional to 13,068, 19,604.43 and 6,142.50 is: 9,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 19,604.43 = 6,142.50 : x
  2. Step 2: Convert to fraction form
    13,068/19,604.43 = 6,142.50/x
  3. Step 3: Cross multiply
    13,068x = 19,604.43 × 6,142.50
  4. Step 4: Simplify right side
    13,068x = 120,420,211.28
  5. Step 5: Solve for x
    x = 120,420,211.28/13,068
  6. Step 6: Final answer
    x = 9,214.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.