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Finding the Fourth Proportional to 10,981.84, 16,508.44 and 8,814.32

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Solution

The fourth proportional to 10,981.84, 16,508.44 and 8,814.32 is: 13,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.84 : 16,508.44 = 8,814.32 : x
  2. Step 2: Convert to fraction form
    10,981.84/16,508.44 = 8,814.32/x
  3. Step 3: Cross multiply
    10,981.84x = 16,508.44 × 8,814.32
  4. Step 4: Simplify right side
    10,981.84x = 145,510,672.86
  5. Step 5: Solve for x
    x = 145,510,672.86/10,981.84
  6. Step 6: Final answer
    x = 13,250.12

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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.