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Finding the Fourth Proportional to 22,142.88, 33,207.06 and 7,347.82

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Solution

The fourth proportional to 22,142.88, 33,207.06 and 7,347.82 is: 11,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.88 : 33,207.06 = 7,347.82 : x
  2. Step 2: Convert to fraction form
    22,142.88/33,207.06 = 7,347.82/x
  3. Step 3: Cross multiply
    22,142.88x = 33,207.06 × 7,347.82
  4. Step 4: Simplify right side
    22,142.88x = 243,999,499.61
  5. Step 5: Solve for x
    x = 243,999,499.61/22,142.88
  6. Step 6: Final answer
    x = 11,019.32

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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.