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Finding the Fourth Proportional to 13,220.48, 19,803.72 and 7,380.20

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Solution

The fourth proportional to 13,220.48, 19,803.72 and 7,380.20 is: 11,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.48 : 19,803.72 = 7,380.20 : x
  2. Step 2: Convert to fraction form
    13,220.48/19,803.72 = 7,380.20/x
  3. Step 3: Cross multiply
    13,220.48x = 19,803.72 × 7,380.20
  4. Step 4: Simplify right side
    13,220.48x = 146,155,414.34
  5. Step 5: Solve for x
    x = 146,155,414.34/13,220.48
  6. Step 6: Final answer
    x = 11,055.23

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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.