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Finding the Fourth Proportional to 22,427.76, 30,950.30 and 13,001.78

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Solution

The fourth proportional to 22,427.76, 30,950.30 and 13,001.78 is: 17,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.76 : 30,950.30 = 13,001.78 : x
  2. Step 2: Convert to fraction form
    22,427.76/30,950.30 = 13,001.78/x
  3. Step 3: Cross multiply
    22,427.76x = 30,950.30 × 13,001.78
  4. Step 4: Simplify right side
    22,427.76x = 402,408,991.53
  5. Step 5: Solve for x
    x = 402,408,991.53/22,427.76
  6. Step 6: Final answer
    x = 17,942.45

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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.