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Finding the Fourth Proportional to 12,803.16, 17,673 and 7,499.64

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Solution

The fourth proportional to 12,803.16, 17,673 and 7,499.64 is: 10,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.16 : 17,673 = 7,499.64 : x
  2. Step 2: Convert to fraction form
    12,803.16/17,673 = 7,499.64/x
  3. Step 3: Cross multiply
    12,803.16x = 17,673 × 7,499.64
  4. Step 4: Simplify right side
    12,803.16x = 132,541,137.72
  5. Step 5: Solve for x
    x = 132,541,137.72/12,803.16
  6. Step 6: Final answer
    x = 10,352.22

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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.