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Finding the Fourth Proportional to 37,200.28, 55,805.84 and 13,509.40

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Solution

The fourth proportional to 37,200.28, 55,805.84 and 13,509.40 is: 20,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,200.28 : 55,805.84 = 13,509.40 : x
  2. Step 2: Convert to fraction form
    37,200.28/55,805.84 = 13,509.40/x
  3. Step 3: Cross multiply
    37,200.28x = 55,805.84 × 13,509.40
  4. Step 4: Simplify right side
    37,200.28x = 753,903,414.90
  5. Step 5: Solve for x
    x = 753,903,414.90/37,200.28
  6. Step 6: Final answer
    x = 20,266.07

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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.