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Finding the Fourth Proportional to 16,098, 22,215.30 and 9,388.26

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Solution

The fourth proportional to 16,098, 22,215.30 and 9,388.26 is: 12,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098 : 22,215.30 = 9,388.26 : x
  2. Step 2: Convert to fraction form
    16,098/22,215.30 = 9,388.26/x
  3. Step 3: Cross multiply
    16,098x = 22,215.30 × 9,388.26
  4. Step 4: Simplify right side
    16,098x = 208,563,012.38
  5. Step 5: Solve for x
    x = 208,563,012.38/16,098
  6. Step 6: Final answer
    x = 12,955.83

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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.