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Finding the Fourth Proportional to 16,333.70, 22,538.16 and 9,258.75

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Solution

The fourth proportional to 16,333.70, 22,538.16 and 9,258.75 is: 12,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.70 : 22,538.16 = 9,258.75 : x
  2. Step 2: Convert to fraction form
    16,333.70/22,538.16 = 9,258.75/x
  3. Step 3: Cross multiply
    16,333.70x = 22,538.16 × 9,258.75
  4. Step 4: Simplify right side
    16,333.70x = 208,675,188.90
  5. Step 5: Solve for x
    x = 208,675,188.90/16,333.70
  6. Step 6: Final answer
    x = 12,775.75

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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.