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Finding the Fourth Proportional to 12,667.98, 17,424.05 and 10,382.90

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Solution

The fourth proportional to 12,667.98, 17,424.05 and 10,382.90 is: 14,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.98 : 17,424.05 = 10,382.90 : x
  2. Step 2: Convert to fraction form
    12,667.98/17,424.05 = 10,382.90/x
  3. Step 3: Cross multiply
    12,667.98x = 17,424.05 × 10,382.90
  4. Step 4: Simplify right side
    12,667.98x = 180,912,029.71
  5. Step 5: Solve for x
    x = 180,912,029.71/12,667.98
  6. Step 6: Final answer
    x = 14,281.05

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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.