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Finding the Fourth Proportional to 22,964.86, 31,689.06 and 12,894.41

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Solution

The fourth proportional to 22,964.86, 31,689.06 and 12,894.41 is: 17,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.86 : 31,689.06 = 12,894.41 : x
  2. Step 2: Convert to fraction form
    22,964.86/31,689.06 = 12,894.41/x
  3. Step 3: Cross multiply
    22,964.86x = 31,689.06 × 12,894.41
  4. Step 4: Simplify right side
    22,964.86x = 408,611,509.24
  5. Step 5: Solve for x
    x = 408,611,509.24/22,964.86
  6. Step 6: Final answer
    x = 17,792.90

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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.