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Finding the Fourth Proportional to 12,770.10, 17,622.69 and 7,463.85

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Solution

The fourth proportional to 12,770.10, 17,622.69 and 7,463.85 is: 10,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.10 : 17,622.69 = 7,463.85 : x
  2. Step 2: Convert to fraction form
    12,770.10/17,622.69 = 7,463.85/x
  3. Step 3: Cross multiply
    12,770.10x = 17,622.69 × 7,463.85
  4. Step 4: Simplify right side
    12,770.10x = 131,533,114.76
  5. Step 5: Solve for x
    x = 131,533,114.76/12,770.10
  6. Step 6: Final answer
    x = 10,300.08

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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.