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Finding the Fourth Proportional to 12,145.76, 16,746.82 and 8,319.25

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Solution

The fourth proportional to 12,145.76, 16,746.82 and 8,319.25 is: 11,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.76 : 16,746.82 = 8,319.25 : x
  2. Step 2: Convert to fraction form
    12,145.76/16,746.82 = 8,319.25/x
  3. Step 3: Cross multiply
    12,145.76x = 16,746.82 × 8,319.25
  4. Step 4: Simplify right side
    12,145.76x = 139,320,919.62
  5. Step 5: Solve for x
    x = 139,320,919.62/12,145.76
  6. Step 6: Final answer
    x = 11,470.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.