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Finding the Fourth Proportional to 13,460.10, 20,177.73 and 7,224.48

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Solution

The fourth proportional to 13,460.10, 20,177.73 and 7,224.48 is: 10,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.10 : 20,177.73 = 7,224.48 : x
  2. Step 2: Convert to fraction form
    13,460.10/20,177.73 = 7,224.48/x
  3. Step 3: Cross multiply
    13,460.10x = 20,177.73 × 7,224.48
  4. Step 4: Simplify right side
    13,460.10x = 145,773,606.83
  5. Step 5: Solve for x
    x = 145,773,606.83/13,460.10
  6. Step 6: Final answer
    x = 10,830.05

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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.