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Finding the Fourth Proportional to 15,767.32, 21,759.84 and 8,693.70

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Solution

The fourth proportional to 15,767.32, 21,759.84 and 8,693.70 is: 11,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.32 : 21,759.84 = 8,693.70 : x
  2. Step 2: Convert to fraction form
    15,767.32/21,759.84 = 8,693.70/x
  3. Step 3: Cross multiply
    15,767.32x = 21,759.84 × 8,693.70
  4. Step 4: Simplify right side
    15,767.32x = 189,173,521.01
  5. Step 5: Solve for x
    x = 189,173,521.01/15,767.32
  6. Step 6: Final answer
    x = 11,997.82

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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.