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Finding the Fourth Proportional to 11,724.30, 17,574.17 and 8,435.61

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Solution

The fourth proportional to 11,724.30, 17,574.17 and 8,435.61 is: 12,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.30 : 17,574.17 = 8,435.61 : x
  2. Step 2: Convert to fraction form
    11,724.30/17,574.17 = 8,435.61/x
  3. Step 3: Cross multiply
    11,724.30x = 17,574.17 × 8,435.61
  4. Step 4: Simplify right side
    11,724.30x = 148,248,802.02
  5. Step 5: Solve for x
    x = 148,248,802.02/11,724.30
  6. Step 6: Final answer
    x = 12,644.58

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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.