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Finding the Fourth Proportional to 15,137.30, 22,706.52 and 6,815.72

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Solution

The fourth proportional to 15,137.30, 22,706.52 and 6,815.72 is: 10,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.30 : 22,706.52 = 6,815.72 : x
  2. Step 2: Convert to fraction form
    15,137.30/22,706.52 = 6,815.72/x
  3. Step 3: Cross multiply
    15,137.30x = 22,706.52 × 6,815.72
  4. Step 4: Simplify right side
    15,137.30x = 154,761,282.49
  5. Step 5: Solve for x
    x = 154,761,282.49/15,137.30
  6. Step 6: Final answer
    x = 10,223.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.