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Finding the Fourth Proportional to 19,285, 28,923.18 and 9,419.56

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Solution

The fourth proportional to 19,285, 28,923.18 and 9,419.56 is: 14,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,285 : 28,923.18 = 9,419.56 : x
  2. Step 2: Convert to fraction form
    19,285/28,923.18 = 9,419.56/x
  3. Step 3: Cross multiply
    19,285x = 28,923.18 × 9,419.56
  4. Step 4: Simplify right side
    19,285x = 272,443,629.40
  5. Step 5: Solve for x
    x = 272,443,629.40/19,285
  6. Step 6: Final answer
    x = 14,127.23

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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.