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Finding the Fourth Proportional to 12,019.77, 16,595.48 and 7,781.09

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Solution

The fourth proportional to 12,019.77, 16,595.48 and 7,781.09 is: 10,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.77 : 16,595.48 = 7,781.09 : x
  2. Step 2: Convert to fraction form
    12,019.77/16,595.48 = 7,781.09/x
  3. Step 3: Cross multiply
    12,019.77x = 16,595.48 × 7,781.09
  4. Step 4: Simplify right side
    12,019.77x = 129,130,859.95
  5. Step 5: Solve for x
    x = 129,130,859.95/12,019.77
  6. Step 6: Final answer
    x = 10,743.21

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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.