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Finding the Fourth Proportional to 13,057.80, 19,553.48 and 7,208

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Solution

The fourth proportional to 13,057.80, 19,553.48 and 7,208 is: 10,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.80 : 19,553.48 = 7,208 : x
  2. Step 2: Convert to fraction form
    13,057.80/19,553.48 = 7,208/x
  3. Step 3: Cross multiply
    13,057.80x = 19,553.48 × 7,208
  4. Step 4: Simplify right side
    13,057.80x = 140,941,483.84
  5. Step 5: Solve for x
    x = 140,941,483.84/13,057.80
  6. Step 6: Final answer
    x = 10,793.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.