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Finding the Fourth Proportional to 12,164.16, 16,786.76 and 7,132.01

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Solution

The fourth proportional to 12,164.16, 16,786.76 and 7,132.01 is: 9,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.16 : 16,786.76 = 7,132.01 : x
  2. Step 2: Convert to fraction form
    12,164.16/16,786.76 = 7,132.01/x
  3. Step 3: Cross multiply
    12,164.16x = 16,786.76 × 7,132.01
  4. Step 4: Simplify right side
    12,164.16x = 119,723,393.79
  5. Step 5: Solve for x
    x = 119,723,393.79/12,164.16
  6. Step 6: Final answer
    x = 9,842.30

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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.