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Finding the Fourth Proportional to 15,836.40, 23,740.32 and 8,446.08

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Solution

The fourth proportional to 15,836.40, 23,740.32 and 8,446.08 is: 12,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.40 : 23,740.32 = 8,446.08 : x
  2. Step 2: Convert to fraction form
    15,836.40/23,740.32 = 8,446.08/x
  3. Step 3: Cross multiply
    15,836.40x = 23,740.32 × 8,446.08
  4. Step 4: Simplify right side
    15,836.40x = 200,512,641.95
  5. Step 5: Solve for x
    x = 200,512,641.95/15,836.40
  6. Step 6: Final answer
    x = 12,661.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.