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Finding the Fourth Proportional to 13,997.87, 19,316.76 and 7,624.53

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Solution

The fourth proportional to 13,997.87, 19,316.76 and 7,624.53 is: 10,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.87 : 19,316.76 = 7,624.53 : x
  2. Step 2: Convert to fraction form
    13,997.87/19,316.76 = 7,624.53/x
  3. Step 3: Cross multiply
    13,997.87x = 19,316.76 × 7,624.53
  4. Step 4: Simplify right side
    13,997.87x = 147,281,119.54
  5. Step 5: Solve for x
    x = 147,281,119.54/13,997.87
  6. Step 6: Final answer
    x = 10,521.68

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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.