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Finding the Fourth Proportional to 14,919.12, 20,588.52 and 8,204.58

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Solution

The fourth proportional to 14,919.12, 20,588.52 and 8,204.58 is: 11,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.12 : 20,588.52 = 8,204.58 : x
  2. Step 2: Convert to fraction form
    14,919.12/20,588.52 = 8,204.58/x
  3. Step 3: Cross multiply
    14,919.12x = 20,588.52 × 8,204.58
  4. Step 4: Simplify right side
    14,919.12x = 168,920,159.42
  5. Step 5: Solve for x
    x = 168,920,159.42/14,919.12
  6. Step 6: Final answer
    x = 11,322.39

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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.