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Finding the Fourth Proportional to 16,007.30, 23,998.15 and 6,765.70

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Solution

The fourth proportional to 16,007.30, 23,998.15 and 6,765.70 is: 10,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.30 : 23,998.15 = 6,765.70 : x
  2. Step 2: Convert to fraction form
    16,007.30/23,998.15 = 6,765.70/x
  3. Step 3: Cross multiply
    16,007.30x = 23,998.15 × 6,765.70
  4. Step 4: Simplify right side
    16,007.30x = 162,364,283.46
  5. Step 5: Solve for x
    x = 162,364,283.46/16,007.30
  6. Step 6: Final answer
    x = 10,143.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.