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Finding the Fourth Proportional to 16,730.30, 23,087.82 and 9,278.30

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Solution

The fourth proportional to 16,730.30, 23,087.82 and 9,278.30 is: 12,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.30 : 23,087.82 = 9,278.30 : x
  2. Step 2: Convert to fraction form
    16,730.30/23,087.82 = 9,278.30/x
  3. Step 3: Cross multiply
    16,730.30x = 23,087.82 × 9,278.30
  4. Step 4: Simplify right side
    16,730.30x = 214,215,630.76
  5. Step 5: Solve for x
    x = 214,215,630.76/16,730.30
  6. Step 6: Final answer
    x = 12,804.05

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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.