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Finding the Fourth Proportional to 13,143.14, 19,715.01 and 4,378.76

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Solution

The fourth proportional to 13,143.14, 19,715.01 and 4,378.76 is: 6,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.14 : 19,715.01 = 4,378.76 : x
  2. Step 2: Convert to fraction form
    13,143.14/19,715.01 = 4,378.76/x
  3. Step 3: Cross multiply
    13,143.14x = 19,715.01 × 4,378.76
  4. Step 4: Simplify right side
    13,143.14x = 86,327,297.19
  5. Step 5: Solve for x
    x = 86,327,297.19/13,143.14
  6. Step 6: Final answer
    x = 6,568.24

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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.