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Finding the Fourth Proportional to 16,825.58, 23,218.81 and 9,656.70

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Solution

The fourth proportional to 16,825.58, 23,218.81 and 9,656.70 is: 13,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.58 : 23,218.81 = 9,656.70 : x
  2. Step 2: Convert to fraction form
    16,825.58/23,218.81 = 9,656.70/x
  3. Step 3: Cross multiply
    16,825.58x = 23,218.81 × 9,656.70
  4. Step 4: Simplify right side
    16,825.58x = 224,217,082.53
  5. Step 5: Solve for x
    x = 224,217,082.53/16,825.58
  6. Step 6: Final answer
    x = 13,325.96

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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.