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Finding the Fourth Proportional to 15,204.92, 20,971.24 and 13,084.00

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Solution

The fourth proportional to 15,204.92, 20,971.24 and 13,084.00 is: 18,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.92 : 20,971.24 = 13,084.00 : x
  2. Step 2: Convert to fraction form
    15,204.92/20,971.24 = 13,084.00/x
  3. Step 3: Cross multiply
    15,204.92x = 20,971.24 × 13,084.00
  4. Step 4: Simplify right side
    15,204.92x = 274,387,619.02
  5. Step 5: Solve for x
    x = 274,387,619.02/15,204.92
  6. Step 6: Final answer
    x = 18,045.98

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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.