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Finding the Fourth Proportional to 13,696.31, 20,547.50 and 4,208.68

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Solution

The fourth proportional to 13,696.31, 20,547.50 and 4,208.68 is: 6,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.31 : 20,547.50 = 4,208.68 : x
  2. Step 2: Convert to fraction form
    13,696.31/20,547.50 = 4,208.68/x
  3. Step 3: Cross multiply
    13,696.31x = 20,547.50 × 4,208.68
  4. Step 4: Simplify right side
    13,696.31x = 86,477,890.54
  5. Step 5: Solve for x
    x = 86,477,890.54/13,696.31
  6. Step 6: Final answer
    x = 6,313.95

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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.