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Finding the Fourth Proportional to 22,686.36, 31,307.14 and 12,614.48

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Solution

The fourth proportional to 22,686.36, 31,307.14 and 12,614.48 is: 17,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.36 : 31,307.14 = 12,614.48 : x
  2. Step 2: Convert to fraction form
    22,686.36/31,307.14 = 12,614.48/x
  3. Step 3: Cross multiply
    22,686.36x = 31,307.14 × 12,614.48
  4. Step 4: Simplify right side
    22,686.36x = 394,923,291.39
  5. Step 5: Solve for x
    x = 394,923,291.39/22,686.36
  6. Step 6: Final answer
    x = 17,407.96

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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.