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Finding the Fourth Proportional to 22,289.28, 30,762.36 and 13,794.14

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Solution

The fourth proportional to 22,289.28, 30,762.36 and 13,794.14 is: 19,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.28 : 30,762.36 = 13,794.14 : x
  2. Step 2: Convert to fraction form
    22,289.28/30,762.36 = 13,794.14/x
  3. Step 3: Cross multiply
    22,289.28x = 30,762.36 × 13,794.14
  4. Step 4: Simplify right side
    22,289.28x = 424,340,300.57
  5. Step 5: Solve for x
    x = 424,340,300.57/22,289.28
  6. Step 6: Final answer
    x = 19,037.86

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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.