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Finding the Fourth Proportional to 14,342.70, 21,515.00 and 3,812.57

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Solution

The fourth proportional to 14,342.70, 21,515.00 and 3,812.57 is: 5,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.70 : 21,515.00 = 3,812.57 : x
  2. Step 2: Convert to fraction form
    14,342.70/21,515.00 = 3,812.57/x
  3. Step 3: Cross multiply
    14,342.70x = 21,515.00 × 3,812.57
  4. Step 4: Simplify right side
    14,342.70x = 82,027,316.91
  5. Step 5: Solve for x
    x = 82,027,316.91/14,342.70
  6. Step 6: Final answer
    x = 5,719.10

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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.