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Finding the Fourth Proportional to 12,814.42, 17,686.74 and 8,097.80

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Solution

The fourth proportional to 12,814.42, 17,686.74 and 8,097.80 is: 11,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.42 : 17,686.74 = 8,097.80 : x
  2. Step 2: Convert to fraction form
    12,814.42/17,686.74 = 8,097.80/x
  3. Step 3: Cross multiply
    12,814.42x = 17,686.74 × 8,097.80
  4. Step 4: Simplify right side
    12,814.42x = 143,223,683.17
  5. Step 5: Solve for x
    x = 143,223,683.17/12,814.42
  6. Step 6: Final answer
    x = 11,176.76

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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.