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Finding the Fourth Proportional to 11,806.02, 16,277.18 and 9,673.70

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Solution

The fourth proportional to 11,806.02, 16,277.18 and 9,673.70 is: 13,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.02 : 16,277.18 = 9,673.70 : x
  2. Step 2: Convert to fraction form
    11,806.02/16,277.18 = 9,673.70/x
  3. Step 3: Cross multiply
    11,806.02x = 16,277.18 × 9,673.70
  4. Step 4: Simplify right side
    11,806.02x = 157,460,426.41
  5. Step 5: Solve for x
    x = 157,460,426.41/11,806.02
  6. Step 6: Final answer
    x = 13,337.30

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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.