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Finding the Fourth Proportional to 22,966.40, 34,406.40 and 11,835.20

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Solution

The fourth proportional to 22,966.40, 34,406.40 and 11,835.20 is: 17,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.40 : 34,406.40 = 11,835.20 : x
  2. Step 2: Convert to fraction form
    22,966.40/34,406.40 = 11,835.20/x
  3. Step 3: Cross multiply
    22,966.40x = 34,406.40 × 11,835.20
  4. Step 4: Simplify right side
    22,966.40x = 407,206,625.28
  5. Step 5: Solve for x
    x = 407,206,625.28/22,966.40
  6. Step 6: Final answer
    x = 17,730.54

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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.