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Finding the Fourth Proportional to 13,696.71, 20,545.97 and 4,810.96

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Solution

The fourth proportional to 13,696.71, 20,545.97 and 4,810.96 is: 7,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.71 : 20,545.97 = 4,810.96 : x
  2. Step 2: Convert to fraction form
    13,696.71/20,545.97 = 4,810.96/x
  3. Step 3: Cross multiply
    13,696.71x = 20,545.97 × 4,810.96
  4. Step 4: Simplify right side
    13,696.71x = 98,845,795.37
  5. Step 5: Solve for x
    x = 98,845,795.37/13,696.71
  6. Step 6: Final answer
    x = 7,216.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.