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Finding the Fourth Proportional to 12,848.90, 17,734.43 and 8,364.83

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Solution

The fourth proportional to 12,848.90, 17,734.43 and 8,364.83 is: 11,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.90 : 17,734.43 = 8,364.83 : x
  2. Step 2: Convert to fraction form
    12,848.90/17,734.43 = 8,364.83/x
  3. Step 3: Cross multiply
    12,848.90x = 17,734.43 × 8,364.83
  4. Step 4: Simplify right side
    12,848.90x = 148,345,557.35
  5. Step 5: Solve for x
    x = 148,345,557.35/12,848.90
  6. Step 6: Final answer
    x = 11,545.39

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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.