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Finding the Fourth Proportional to 13,686.57, 20,530.41 and 4,326.77

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Solution

The fourth proportional to 13,686.57, 20,530.41 and 4,326.77 is: 6,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.57 : 20,530.41 = 4,326.77 : x
  2. Step 2: Convert to fraction form
    13,686.57/20,530.41 = 4,326.77/x
  3. Step 3: Cross multiply
    13,686.57x = 20,530.41 × 4,326.77
  4. Step 4: Simplify right side
    13,686.57x = 88,830,306.03
  5. Step 5: Solve for x
    x = 88,830,306.03/13,686.57
  6. Step 6: Final answer
    x = 6,490.33

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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.