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Finding the Fourth Proportional to 12,319.25, 18,411.36 and 8,994.50

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Solution

The fourth proportional to 12,319.25, 18,411.36 and 8,994.50 is: 13,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.25 : 18,411.36 = 8,994.50 : x
  2. Step 2: Convert to fraction form
    12,319.25/18,411.36 = 8,994.50/x
  3. Step 3: Cross multiply
    12,319.25x = 18,411.36 × 8,994.50
  4. Step 4: Simplify right side
    12,319.25x = 165,600,977.52
  5. Step 5: Solve for x
    x = 165,600,977.52/12,319.25
  6. Step 6: Final answer
    x = 13,442.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.