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Finding the Fourth Proportional to 13,269.14, 19,905 and 4,947.22

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Solution

The fourth proportional to 13,269.14, 19,905 and 4,947.22 is: 7,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269.14 : 19,905 = 4,947.22 : x
  2. Step 2: Convert to fraction form
    13,269.14/19,905 = 4,947.22/x
  3. Step 3: Cross multiply
    13,269.14x = 19,905 × 4,947.22
  4. Step 4: Simplify right side
    13,269.14x = 98,474,414.10
  5. Step 5: Solve for x
    x = 98,474,414.10/13,269.14
  6. Step 6: Final answer
    x = 7,421.31

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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.