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Finding the Fourth Proportional to 22,465.71, 31,002.71 and 12,256.83

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Solution

The fourth proportional to 22,465.71, 31,002.71 and 12,256.83 is: 16,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.71 : 31,002.71 = 12,256.83 : x
  2. Step 2: Convert to fraction form
    22,465.71/31,002.71 = 12,256.83/x
  3. Step 3: Cross multiply
    22,465.71x = 31,002.71 × 12,256.83
  4. Step 4: Simplify right side
    22,465.71x = 379,994,884.73
  5. Step 5: Solve for x
    x = 379,994,884.73/22,465.71
  6. Step 6: Final answer
    x = 16,914.44

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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.