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Finding the Fourth Proportional to 16,021.76, 22,109.98 and 8,948.12

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Solution

The fourth proportional to 16,021.76, 22,109.98 and 8,948.12 is: 12,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.76 : 22,109.98 = 8,948.12 : x
  2. Step 2: Convert to fraction form
    16,021.76/22,109.98 = 8,948.12/x
  3. Step 3: Cross multiply
    16,021.76x = 22,109.98 × 8,948.12
  4. Step 4: Simplify right side
    16,021.76x = 197,842,754.24
  5. Step 5: Solve for x
    x = 197,842,754.24/16,021.76
  6. Step 6: Final answer
    x = 12,348.38

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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.