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Finding the Fourth Proportional to 20,148.72, 27,803.10 and 11,649.48

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Solution

The fourth proportional to 20,148.72, 27,803.10 and 11,649.48 is: 16,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.72 : 27,803.10 = 11,649.48 : x
  2. Step 2: Convert to fraction form
    20,148.72/27,803.10 = 11,649.48/x
  3. Step 3: Cross multiply
    20,148.72x = 27,803.10 × 11,649.48
  4. Step 4: Simplify right side
    20,148.72x = 323,891,657.39
  5. Step 5: Solve for x
    x = 323,891,657.39/20,148.72
  6. Step 6: Final answer
    x = 16,075.05

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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.