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Finding the Fourth Proportional to 15,767.42, 21,758.94 and 8,693.82

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Solution

The fourth proportional to 15,767.42, 21,758.94 and 8,693.82 is: 11,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.42 : 21,758.94 = 8,693.82 : x
  2. Step 2: Convert to fraction form
    15,767.42/21,758.94 = 8,693.82/x
  3. Step 3: Cross multiply
    15,767.42x = 21,758.94 × 8,693.82
  4. Step 4: Simplify right side
    15,767.42x = 189,168,307.75
  5. Step 5: Solve for x
    x = 189,168,307.75/15,767.42
  6. Step 6: Final answer
    x = 11,997.42

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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.