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Finding the Fourth Proportional to 13,458.62, 20,187.95 and 6,436.98

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Solution

The fourth proportional to 13,458.62, 20,187.95 and 6,436.98 is: 9,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.62 : 20,187.95 = 6,436.98 : x
  2. Step 2: Convert to fraction form
    13,458.62/20,187.95 = 6,436.98/x
  3. Step 3: Cross multiply
    13,458.62x = 20,187.95 × 6,436.98
  4. Step 4: Simplify right side
    13,458.62x = 129,949,398.21
  5. Step 5: Solve for x
    x = 129,949,398.21/13,458.62
  6. Step 6: Final answer
    x = 9,655.48

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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.