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Finding the Fourth Proportional to 13,696.13, 20,545.81 and 4,462.13

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Solution

The fourth proportional to 13,696.13, 20,545.81 and 4,462.13 is: 6,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.13 : 20,545.81 = 4,462.13 : x
  2. Step 2: Convert to fraction form
    13,696.13/20,545.81 = 4,462.13/x
  3. Step 3: Cross multiply
    13,696.13x = 20,545.81 × 4,462.13
  4. Step 4: Simplify right side
    13,696.13x = 91,677,961.29
  5. Step 5: Solve for x
    x = 91,677,961.29/13,696.13
  6. Step 6: Final answer
    x = 6,693.72

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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.