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Finding the Fourth Proportional to 16,076.28, 22,185.70 and 9,785

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Solution

The fourth proportional to 16,076.28, 22,185.70 and 9,785 is: 13,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.28 : 22,185.70 = 9,785 : x
  2. Step 2: Convert to fraction form
    16,076.28/22,185.70 = 9,785/x
  3. Step 3: Cross multiply
    16,076.28x = 22,185.70 × 9,785
  4. Step 4: Simplify right side
    16,076.28x = 217,087,074.50
  5. Step 5: Solve for x
    x = 217,087,074.50/16,076.28
  6. Step 6: Final answer
    x = 13,503.56

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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.