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Finding the Fourth Proportional to 15,086.93, 20,828.21 and 10,314.05

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Solution

The fourth proportional to 15,086.93, 20,828.21 and 10,314.05 is: 14,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.93 : 20,828.21 = 10,314.05 : x
  2. Step 2: Convert to fraction form
    15,086.93/20,828.21 = 10,314.05/x
  3. Step 3: Cross multiply
    15,086.93x = 20,828.21 × 10,314.05
  4. Step 4: Simplify right side
    15,086.93x = 214,823,043.64
  5. Step 5: Solve for x
    x = 214,823,043.64/15,086.93
  6. Step 6: Final answer
    x = 14,239.02

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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.