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Finding the Fourth Proportional to 15,205.92, 20,972.62 and 13,085

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Solution

The fourth proportional to 15,205.92, 20,972.62 and 13,085 is: 18,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.92 : 20,972.62 = 13,085 : x
  2. Step 2: Convert to fraction form
    15,205.92/20,972.62 = 13,085/x
  3. Step 3: Cross multiply
    15,205.92x = 20,972.62 × 13,085
  4. Step 4: Simplify right side
    15,205.92x = 274,426,732.70
  5. Step 5: Solve for x
    x = 274,426,732.70/15,205.92
  6. Step 6: Final answer
    x = 18,047.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.