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Finding the Fourth Proportional to 12,193.40, 16,834.70 and 9,960.63

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Solution

The fourth proportional to 12,193.40, 16,834.70 and 9,960.63 is: 13,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.40 : 16,834.70 = 9,960.63 : x
  2. Step 2: Convert to fraction form
    12,193.40/16,834.70 = 9,960.63/x
  3. Step 3: Cross multiply
    12,193.40x = 16,834.70 × 9,960.63
  4. Step 4: Simplify right side
    12,193.40x = 167,684,168.06
  5. Step 5: Solve for x
    x = 167,684,168.06/12,193.40
  6. Step 6: Final answer
    x = 13,752.05

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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.