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Finding the Fourth Proportional to 13,411.95, 18,511.35 and 7,747.62

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Solution

The fourth proportional to 13,411.95, 18,511.35 and 7,747.62 is: 10,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.95 : 18,511.35 = 7,747.62 : x
  2. Step 2: Convert to fraction form
    13,411.95/18,511.35 = 7,747.62/x
  3. Step 3: Cross multiply
    13,411.95x = 18,511.35 × 7,747.62
  4. Step 4: Simplify right side
    13,411.95x = 143,418,905.49
  5. Step 5: Solve for x
    x = 143,418,905.49/13,411.95
  6. Step 6: Final answer
    x = 10,693.37

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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.