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Finding the Fourth Proportional to 12,774.19, 17,626.99 and 7,108.05

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Solution

The fourth proportional to 12,774.19, 17,626.99 and 7,108.05 is: 9,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.19 : 17,626.99 = 7,108.05 : x
  2. Step 2: Convert to fraction form
    12,774.19/17,626.99 = 7,108.05/x
  3. Step 3: Cross multiply
    12,774.19x = 17,626.99 × 7,108.05
  4. Step 4: Simplify right side
    12,774.19x = 125,293,526.27
  5. Step 5: Solve for x
    x = 125,293,526.27/12,774.19
  6. Step 6: Final answer
    x = 9,808.33

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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.