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Finding the Fourth Proportional to 14,676, 22,014.80 and 5,909.77

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Solution

The fourth proportional to 14,676, 22,014.80 and 5,909.77 is: 8,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676 : 22,014.80 = 5,909.77 : x
  2. Step 2: Convert to fraction form
    14,676/22,014.80 = 5,909.77/x
  3. Step 3: Cross multiply
    14,676x = 22,014.80 × 5,909.77
  4. Step 4: Simplify right side
    14,676x = 130,102,404.60
  5. Step 5: Solve for x
    x = 130,102,404.60/14,676
  6. Step 6: Final answer
    x = 8,864.98

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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.