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Finding the Fourth Proportional to 12,774.24, 17,628.17 and 7,108.83

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Solution

The fourth proportional to 12,774.24, 17,628.17 and 7,108.83 is: 9,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.24 : 17,628.17 = 7,108.83 : x
  2. Step 2: Convert to fraction form
    12,774.24/17,628.17 = 7,108.83/x
  3. Step 3: Cross multiply
    12,774.24x = 17,628.17 × 7,108.83
  4. Step 4: Simplify right side
    12,774.24x = 125,315,628.20
  5. Step 5: Solve for x
    x = 125,315,628.20/12,774.24
  6. Step 6: Final answer
    x = 9,810.03

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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.