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Finding the Fourth Proportional to 12,465.27, 18,686.35 and 6,540.93

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Solution

The fourth proportional to 12,465.27, 18,686.35 and 6,540.93 is: 9,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.27 : 18,686.35 = 6,540.93 : x
  2. Step 2: Convert to fraction form
    12,465.27/18,686.35 = 6,540.93/x
  3. Step 3: Cross multiply
    12,465.27x = 18,686.35 × 6,540.93
  4. Step 4: Simplify right side
    12,465.27x = 122,226,107.31
  5. Step 5: Solve for x
    x = 122,226,107.31/12,465.27
  6. Step 6: Final answer
    x = 9,805.33

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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.