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Finding the Fourth Proportional to 16,003.07, 22,084.25 and 8,929.50

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Solution

The fourth proportional to 16,003.07, 22,084.25 and 8,929.50 is: 12,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.07 : 22,084.25 = 8,929.50 : x
  2. Step 2: Convert to fraction form
    16,003.07/22,084.25 = 8,929.50/x
  3. Step 3: Cross multiply
    16,003.07x = 22,084.25 × 8,929.50
  4. Step 4: Simplify right side
    16,003.07x = 197,201,310.38
  5. Step 5: Solve for x
    x = 197,201,310.38/16,003.07
  6. Step 6: Final answer
    x = 12,322.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.