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Finding the Fourth Proportional to 11,798.80, 16,176.81 and 11,588.20

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Solution

The fourth proportional to 11,798.80, 16,176.81 and 11,588.20 is: 15,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.80 : 16,176.81 = 11,588.20 : x
  2. Step 2: Convert to fraction form
    11,798.80/16,176.81 = 11,588.20/x
  3. Step 3: Cross multiply
    11,798.80x = 16,176.81 × 11,588.20
  4. Step 4: Simplify right side
    11,798.80x = 187,460,109.64
  5. Step 5: Solve for x
    x = 187,460,109.64/11,798.80
  6. Step 6: Final answer
    x = 15,888.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.