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Finding the Fourth Proportional to 13,685.34, 20,545.02 and 9,551.64

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Solution

The fourth proportional to 13,685.34, 20,545.02 and 9,551.64 is: 14,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.34 : 20,545.02 = 9,551.64 : x
  2. Step 2: Convert to fraction form
    13,685.34/20,545.02 = 9,551.64/x
  3. Step 3: Cross multiply
    13,685.34x = 20,545.02 × 9,551.64
  4. Step 4: Simplify right side
    13,685.34x = 196,238,634.83
  5. Step 5: Solve for x
    x = 196,238,634.83/13,685.34
  6. Step 6: Final answer
    x = 14,339.33

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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.