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Finding the Fourth Proportional to 23,089.84, 31,864.13 and 12,479.46

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Solution

The fourth proportional to 23,089.84, 31,864.13 and 12,479.46 is: 17,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.84 : 31,864.13 = 12,479.46 : x
  2. Step 2: Convert to fraction form
    23,089.84/31,864.13 = 12,479.46/x
  3. Step 3: Cross multiply
    23,089.84x = 31,864.13 × 12,479.46
  4. Step 4: Simplify right side
    23,089.84x = 397,647,135.77
  5. Step 5: Solve for x
    x = 397,647,135.77/23,089.84
  6. Step 6: Final answer
    x = 17,221.74

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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.