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Finding the Fourth Proportional to 13,294.31, 19,943.28 and 3,935.06

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Solution

The fourth proportional to 13,294.31, 19,943.28 and 3,935.06 is: 5,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.31 : 19,943.28 = 3,935.06 : x
  2. Step 2: Convert to fraction form
    13,294.31/19,943.28 = 3,935.06/x
  3. Step 3: Cross multiply
    13,294.31x = 19,943.28 × 3,935.06
  4. Step 4: Simplify right side
    13,294.31x = 78,478,003.40
  5. Step 5: Solve for x
    x = 78,478,003.40/13,294.31
  6. Step 6: Final answer
    x = 5,903.13

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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.