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Finding the Fourth Proportional to 12,767.40, 19,157.82 and 6,111.42

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Solution

The fourth proportional to 12,767.40, 19,157.82 and 6,111.42 is: 9,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.40 : 19,157.82 = 6,111.42 : x
  2. Step 2: Convert to fraction form
    12,767.40/19,157.82 = 6,111.42/x
  3. Step 3: Cross multiply
    12,767.40x = 19,157.82 × 6,111.42
  4. Step 4: Simplify right side
    12,767.40x = 117,081,484.30
  5. Step 5: Solve for x
    x = 117,081,484.30/12,767.40
  6. Step 6: Final answer
    x = 9,170.35

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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.