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Finding the Fourth Proportional to 13,045.28, 19,570.80 and 3,812

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Solution

The fourth proportional to 13,045.28, 19,570.80 and 3,812 is: 5,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.28 : 19,570.80 = 3,812 : x
  2. Step 2: Convert to fraction form
    13,045.28/19,570.80 = 3,812/x
  3. Step 3: Cross multiply
    13,045.28x = 19,570.80 × 3,812
  4. Step 4: Simplify right side
    13,045.28x = 74,603,889.60
  5. Step 5: Solve for x
    x = 74,603,889.60/13,045.28
  6. Step 6: Final answer
    x = 5,718.84

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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.