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Finding the Fourth Proportional to 10,814, 14,909.80 and 9,024.05

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Solution

The fourth proportional to 10,814, 14,909.80 and 9,024.05 is: 12,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814 : 14,909.80 = 9,024.05 : x
  2. Step 2: Convert to fraction form
    10,814/14,909.80 = 9,024.05/x
  3. Step 3: Cross multiply
    10,814x = 14,909.80 × 9,024.05
  4. Step 4: Simplify right side
    10,814x = 134,546,847.88
  5. Step 5: Solve for x
    x = 134,546,847.88/10,814
  6. Step 6: Final answer
    x = 12,441.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.