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Finding the Fourth Proportional to 12,803.70, 17,667.90 and 7,137.90

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Solution

The fourth proportional to 12,803.70, 17,667.90 and 7,137.90 is: 9,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.70 : 17,667.90 = 7,137.90 : x
  2. Step 2: Convert to fraction form
    12,803.70/17,667.90 = 7,137.90/x
  3. Step 3: Cross multiply
    12,803.70x = 17,667.90 × 7,137.90
  4. Step 4: Simplify right side
    12,803.70x = 126,111,703.41
  5. Step 5: Solve for x
    x = 126,111,703.41/12,803.70
  6. Step 6: Final answer
    x = 9,849.63

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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.