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Finding the Fourth Proportional to 15,642.32, 21,586.40 and 8,568.80

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Solution

The fourth proportional to 15,642.32, 21,586.40 and 8,568.80 is: 11,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.32 : 21,586.40 = 8,568.80 : x
  2. Step 2: Convert to fraction form
    15,642.32/21,586.40 = 8,568.80/x
  3. Step 3: Cross multiply
    15,642.32x = 21,586.40 × 8,568.80
  4. Step 4: Simplify right side
    15,642.32x = 184,969,544.32
  5. Step 5: Solve for x
    x = 184,969,544.32/15,642.32
  6. Step 6: Final answer
    x = 11,824.94

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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.