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Finding the Fourth Proportional to 15,137.12, 20,887.36 and 8,420.96

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Solution

The fourth proportional to 15,137.12, 20,887.36 and 8,420.96 is: 11,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.12 : 20,887.36 = 8,420.96 : x
  2. Step 2: Convert to fraction form
    15,137.12/20,887.36 = 8,420.96/x
  3. Step 3: Cross multiply
    15,137.12x = 20,887.36 × 8,420.96
  4. Step 4: Simplify right side
    15,137.12x = 175,891,623.07
  5. Step 5: Solve for x
    x = 175,891,623.07/15,137.12
  6. Step 6: Final answer
    x = 11,619.89

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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.