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Finding the Fourth Proportional to 19,781.04, 29,685.86 and 7,774.98

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Solution

The fourth proportional to 19,781.04, 29,685.86 and 7,774.98 is: 11,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.04 : 29,685.86 = 7,774.98 : x
  2. Step 2: Convert to fraction form
    19,781.04/29,685.86 = 7,774.98/x
  3. Step 3: Cross multiply
    19,781.04x = 29,685.86 × 7,774.98
  4. Step 4: Simplify right side
    19,781.04x = 230,807,003.12
  5. Step 5: Solve for x
    x = 230,807,003.12/19,781.04
  6. Step 6: Final answer
    x = 11,668.09

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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.