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Finding the Fourth Proportional to 14,741.88, 22,113.04 and 8,209.58

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Solution

The fourth proportional to 14,741.88, 22,113.04 and 8,209.58 is: 12,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.88 : 22,113.04 = 8,209.58 : x
  2. Step 2: Convert to fraction form
    14,741.88/22,113.04 = 8,209.58/x
  3. Step 3: Cross multiply
    14,741.88x = 22,113.04 × 8,209.58
  4. Step 4: Simplify right side
    14,741.88x = 181,538,770.92
  5. Step 5: Solve for x
    x = 181,538,770.92/14,741.88
  6. Step 6: Final answer
    x = 12,314.49

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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.