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Finding the Fourth Proportional to 12,779.05, 17,634.81 and 7,401.70

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Solution

The fourth proportional to 12,779.05, 17,634.81 and 7,401.70 is: 10,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.05 : 17,634.81 = 7,401.70 : x
  2. Step 2: Convert to fraction form
    12,779.05/17,634.81 = 7,401.70/x
  3. Step 3: Cross multiply
    12,779.05x = 17,634.81 × 7,401.70
  4. Step 4: Simplify right side
    12,779.05x = 130,527,573.18
  5. Step 5: Solve for x
    x = 130,527,573.18/12,779.05
  6. Step 6: Final answer
    x = 10,214.18

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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.