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Finding the Fourth Proportional to 13,997.87, 19,316.90 and 7,624.44

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Solution

The fourth proportional to 13,997.87, 19,316.90 and 7,624.44 is: 10,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.87 : 19,316.90 = 7,624.44 : x
  2. Step 2: Convert to fraction form
    13,997.87/19,316.90 = 7,624.44/x
  3. Step 3: Cross multiply
    13,997.87x = 19,316.90 × 7,624.44
  4. Step 4: Simplify right side
    13,997.87x = 147,280,624.15
  5. Step 5: Solve for x
    x = 147,280,624.15/13,997.87
  6. Step 6: Final answer
    x = 10,521.64

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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.