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Finding the Fourth Proportional to 14,202.78, 19,598.67 and 8,232.54

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Solution

The fourth proportional to 14,202.78, 19,598.67 and 8,232.54 is: 11,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.78 : 19,598.67 = 8,232.54 : x
  2. Step 2: Convert to fraction form
    14,202.78/19,598.67 = 8,232.54/x
  3. Step 3: Cross multiply
    14,202.78x = 19,598.67 × 8,232.54
  4. Step 4: Simplify right side
    14,202.78x = 161,346,834.72
  5. Step 5: Solve for x
    x = 161,346,834.72/14,202.78
  6. Step 6: Final answer
    x = 11,360.23

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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.