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Finding the Fourth Proportional to 22,724.40, 34,037.28 and 11,013

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Solution

The fourth proportional to 22,724.40, 34,037.28 and 11,013 is: 16,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.40 : 34,037.28 = 11,013 : x
  2. Step 2: Convert to fraction form
    22,724.40/34,037.28 = 11,013/x
  3. Step 3: Cross multiply
    22,724.40x = 34,037.28 × 11,013
  4. Step 4: Simplify right side
    22,724.40x = 374,852,564.64
  5. Step 5: Solve for x
    x = 374,852,564.64/22,724.40
  6. Step 6: Final answer
    x = 16,495.60

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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.