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Finding the Fourth Proportional to 12,945.49, 19,404.74 and 8,785.82

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Solution

The fourth proportional to 12,945.49, 19,404.74 and 8,785.82 is: 13,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.49 : 19,404.74 = 8,785.82 : x
  2. Step 2: Convert to fraction form
    12,945.49/19,404.74 = 8,785.82/x
  3. Step 3: Cross multiply
    12,945.49x = 19,404.74 × 8,785.82
  4. Step 4: Simplify right side
    12,945.49x = 170,486,623.26
  5. Step 5: Solve for x
    x = 170,486,623.26/12,945.49
  6. Step 6: Final answer
    x = 13,169.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.