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Finding the Fourth Proportional to 22,142.24, 33,206.14 and 7,347.19

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Solution

The fourth proportional to 22,142.24, 33,206.14 and 7,347.19 is: 11,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.24 : 33,206.14 = 7,347.19 : x
  2. Step 2: Convert to fraction form
    22,142.24/33,206.14 = 7,347.19/x
  3. Step 3: Cross multiply
    22,142.24x = 33,206.14 × 7,347.19
  4. Step 4: Simplify right side
    22,142.24x = 243,971,635.35
  5. Step 5: Solve for x
    x = 243,971,635.35/22,142.24
  6. Step 6: Final answer
    x = 11,018.38

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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.