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Finding the Fourth Proportional to 22,911.28, 34,362.80 and 10,428.40

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Solution

The fourth proportional to 22,911.28, 34,362.80 and 10,428.40 is: 15,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911.28 : 34,362.80 = 10,428.40 : x
  2. Step 2: Convert to fraction form
    22,911.28/34,362.80 = 10,428.40/x
  3. Step 3: Cross multiply
    22,911.28x = 34,362.80 × 10,428.40
  4. Step 4: Simplify right side
    22,911.28x = 358,349,023.52
  5. Step 5: Solve for x
    x = 358,349,023.52/22,911.28
  6. Step 6: Final answer
    x = 15,640.72

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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.