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Finding the Fourth Proportional to 16,059.30, 22,166.28 and 9,346.23

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Solution

The fourth proportional to 16,059.30, 22,166.28 and 9,346.23 is: 12,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,059.30 : 22,166.28 = 9,346.23 : x
  2. Step 2: Convert to fraction form
    16,059.30/22,166.28 = 9,346.23/x
  3. Step 3: Cross multiply
    16,059.30x = 22,166.28 × 9,346.23
  4. Step 4: Simplify right side
    16,059.30x = 207,171,151.12
  5. Step 5: Solve for x
    x = 207,171,151.12/16,059.30
  6. Step 6: Final answer
    x = 12,900.38

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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.