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Finding the Fourth Proportional to 22,427.50, 30,949.95 and 13,001.53

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Solution

The fourth proportional to 22,427.50, 30,949.95 and 13,001.53 is: 17,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.50 : 30,949.95 = 13,001.53 : x
  2. Step 2: Convert to fraction form
    22,427.50/30,949.95 = 13,001.53/x
  3. Step 3: Cross multiply
    22,427.50x = 30,949.95 × 13,001.53
  4. Step 4: Simplify right side
    22,427.50x = 402,396,703.42
  5. Step 5: Solve for x
    x = 402,396,703.42/22,427.50
  6. Step 6: Final answer
    x = 17,942.11

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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.