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Finding the Fourth Proportional to 22,706.46, 31,335.34 and 12,635.32

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Solution

The fourth proportional to 22,706.46, 31,335.34 and 12,635.32 is: 17,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.46 : 31,335.34 = 12,635.32 : x
  2. Step 2: Convert to fraction form
    22,706.46/31,335.34 = 12,635.32/x
  3. Step 3: Cross multiply
    22,706.46x = 31,335.34 × 12,635.32
  4. Step 4: Simplify right side
    22,706.46x = 395,932,048.21
  5. Step 5: Solve for x
    x = 395,932,048.21/22,706.46
  6. Step 6: Final answer
    x = 17,436.98

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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.