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Finding the Fourth Proportional to 12,803.30, 17,669.98 and 7,138.56

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Solution

The fourth proportional to 12,803.30, 17,669.98 and 7,138.56 is: 9,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.30 : 17,669.98 = 7,138.56 : x
  2. Step 2: Convert to fraction form
    12,803.30/17,669.98 = 7,138.56/x
  3. Step 3: Cross multiply
    12,803.30x = 17,669.98 × 7,138.56
  4. Step 4: Simplify right side
    12,803.30x = 126,138,212.43
  5. Step 5: Solve for x
    x = 126,138,212.43/12,803.30
  6. Step 6: Final answer
    x = 9,852.01

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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.