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Finding the Fourth Proportional to 22,685.76, 31,307.70 and 12,614.28

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Solution

The fourth proportional to 22,685.76, 31,307.70 and 12,614.28 is: 17,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.76 : 31,307.70 = 12,614.28 : x
  2. Step 2: Convert to fraction form
    22,685.76/31,307.70 = 12,614.28/x
  3. Step 3: Cross multiply
    22,685.76x = 31,307.70 × 12,614.28
  4. Step 4: Simplify right side
    22,685.76x = 394,924,093.96
  5. Step 5: Solve for x
    x = 394,924,093.96/22,685.76
  6. Step 6: Final answer
    x = 17,408.46

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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.