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Finding the Fourth Proportional to 12,803.66, 17,673.69 and 7,500.14

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Solution

The fourth proportional to 12,803.66, 17,673.69 and 7,500.14 is: 10,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.66 : 17,673.69 = 7,500.14 : x
  2. Step 2: Convert to fraction form
    12,803.66/17,673.69 = 7,500.14/x
  3. Step 3: Cross multiply
    12,803.66x = 17,673.69 × 7,500.14
  4. Step 4: Simplify right side
    12,803.66x = 132,555,149.32
  5. Step 5: Solve for x
    x = 132,555,149.32/12,803.66
  6. Step 6: Final answer
    x = 10,352.91

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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.