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Finding the Fourth Proportional to 16,156.69, 22,300.19 and 9,874.33

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Solution

The fourth proportional to 16,156.69, 22,300.19 and 9,874.33 is: 13,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.69 : 22,300.19 = 9,874.33 : x
  2. Step 2: Convert to fraction form
    16,156.69/22,300.19 = 9,874.33/x
  3. Step 3: Cross multiply
    16,156.69x = 22,300.19 × 9,874.33
  4. Step 4: Simplify right side
    16,156.69x = 220,199,385.75
  5. Step 5: Solve for x
    x = 220,199,385.75/16,156.69
  6. Step 6: Final answer
    x = 13,628.99

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