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Finding the Fourth Proportional to 19,510.44, 29,262.54 and 5,469

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Solution

The fourth proportional to 19,510.44, 29,262.54 and 5,469 is: 8,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510.44 : 29,262.54 = 5,469 : x
  2. Step 2: Convert to fraction form
    19,510.44/29,262.54 = 5,469/x
  3. Step 3: Cross multiply
    19,510.44x = 29,262.54 × 5,469
  4. Step 4: Simplify right side
    19,510.44x = 160,036,831.26
  5. Step 5: Solve for x
    x = 160,036,831.26/19,510.44
  6. Step 6: Final answer
    x = 8,202.63

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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.