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Finding the Fourth Proportional to 21,013.50, 31,492.96 and 8,518.90

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Solution

The fourth proportional to 21,013.50, 31,492.96 and 8,518.90 is: 12,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.50 : 31,492.96 = 8,518.90 : x
  2. Step 2: Convert to fraction form
    21,013.50/31,492.96 = 8,518.90/x
  3. Step 3: Cross multiply
    21,013.50x = 31,492.96 × 8,518.90
  4. Step 4: Simplify right side
    21,013.50x = 268,285,376.94
  5. Step 5: Solve for x
    x = 268,285,376.94/21,013.50
  6. Step 6: Final answer
    x = 12,767.29

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Why These Related Problems?

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