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Finding the Fourth Proportional to 22,457.88, 33,686.82 and 7,659.18

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Solution

The fourth proportional to 22,457.88, 33,686.82 and 7,659.18 is: 11,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.88 : 33,686.82 = 7,659.18 : x
  2. Step 2: Convert to fraction form
    22,457.88/33,686.82 = 7,659.18/x
  3. Step 3: Cross multiply
    22,457.88x = 33,686.82 × 7,659.18
  4. Step 4: Simplify right side
    22,457.88x = 258,013,418.01
  5. Step 5: Solve for x
    x = 258,013,418.01/22,457.88
  6. Step 6: Final answer
    x = 11,488.77

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