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Finding the Fourth Proportional to 22,919.67, 31,629.11 and 12,848.12

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Solution

The fourth proportional to 22,919.67, 31,629.11 and 12,848.12 is: 17,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919.67 : 31,629.11 = 12,848.12 : x
  2. Step 2: Convert to fraction form
    22,919.67/31,629.11 = 12,848.12/x
  3. Step 3: Cross multiply
    22,919.67x = 31,629.11 × 12,848.12
  4. Step 4: Simplify right side
    22,919.67x = 406,374,600.77
  5. Step 5: Solve for x
    x = 406,374,600.77/22,919.67
  6. Step 6: Final answer
    x = 17,730.39

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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.