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Finding the Fourth Proportional to 15,642.68, 21,587.16 and 8,568.64

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Solution

The fourth proportional to 15,642.68, 21,587.16 and 8,568.64 is: 11,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.68 : 21,587.16 = 8,568.64 : x
  2. Step 2: Convert to fraction form
    15,642.68/21,587.16 = 8,568.64/x
  3. Step 3: Cross multiply
    15,642.68x = 21,587.16 × 8,568.64
  4. Step 4: Simplify right side
    15,642.68x = 184,972,602.66
  5. Step 5: Solve for x
    x = 184,972,602.66/15,642.68
  6. Step 6: Final answer
    x = 11,824.87

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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.