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Finding the Fourth Proportional to 16,520, 22,794.66 and 9,349.88

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Solution

The fourth proportional to 16,520, 22,794.66 and 9,349.88 is: 12,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520 : 22,794.66 = 9,349.88 : x
  2. Step 2: Convert to fraction form
    16,520/22,794.66 = 9,349.88/x
  3. Step 3: Cross multiply
    16,520x = 22,794.66 × 9,349.88
  4. Step 4: Simplify right side
    16,520x = 213,127,335.64
  5. Step 5: Solve for x
    x = 213,127,335.64/16,520
  6. Step 6: Final answer
    x = 12,901.17

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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.