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Finding the Fourth Proportional to 15,102.94, 20,842.05 and 8,389.19

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Solution

The fourth proportional to 15,102.94, 20,842.05 and 8,389.19 is: 11,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.94 : 20,842.05 = 8,389.19 : x
  2. Step 2: Convert to fraction form
    15,102.94/20,842.05 = 8,389.19/x
  3. Step 3: Cross multiply
    15,102.94x = 20,842.05 × 8,389.19
  4. Step 4: Simplify right side
    15,102.94x = 174,847,917.44
  5. Step 5: Solve for x
    x = 174,847,917.44/15,102.94
  6. Step 6: Final answer
    x = 11,577.08

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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.