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Finding the Fourth Proportional to 12,902.66, 19,354.11 and 4,582.82

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Solution

The fourth proportional to 12,902.66, 19,354.11 and 4,582.82 is: 6,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.66 : 19,354.11 = 4,582.82 : x
  2. Step 2: Convert to fraction form
    12,902.66/19,354.11 = 4,582.82/x
  3. Step 3: Cross multiply
    12,902.66x = 19,354.11 × 4,582.82
  4. Step 4: Simplify right side
    12,902.66x = 88,696,402.39
  5. Step 5: Solve for x
    x = 88,696,402.39/12,902.66
  6. Step 6: Final answer
    x = 6,874.27

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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.