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Finding the Fourth Proportional to 15,102.80, 20,842.14 and 8,389.05

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Solution

The fourth proportional to 15,102.80, 20,842.14 and 8,389.05 is: 11,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.80 : 20,842.14 = 8,389.05 : x
  2. Step 2: Convert to fraction form
    15,102.80/20,842.14 = 8,389.05/x
  3. Step 3: Cross multiply
    15,102.80x = 20,842.14 × 8,389.05
  4. Step 4: Simplify right side
    15,102.80x = 174,845,754.57
  5. Step 5: Solve for x
    x = 174,845,754.57/15,102.80
  6. Step 6: Final answer
    x = 11,577.05

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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.