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Finding the Fourth Proportional to 14,775.39, 20,390.82 and 8,488.17

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Solution

The fourth proportional to 14,775.39, 20,390.82 and 8,488.17 is: 11,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.39 : 20,390.82 = 8,488.17 : x
  2. Step 2: Convert to fraction form
    14,775.39/20,390.82 = 8,488.17/x
  3. Step 3: Cross multiply
    14,775.39x = 20,390.82 × 8,488.17
  4. Step 4: Simplify right side
    14,775.39x = 173,080,746.60
  5. Step 5: Solve for x
    x = 173,080,746.60/14,775.39
  6. Step 6: Final answer
    x = 11,714.12

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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.