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Finding the Fourth Proportional to 15,857.59, 21,883.62 and 9,568.75

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Solution

The fourth proportional to 15,857.59, 21,883.62 and 9,568.75 is: 13,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.59 : 21,883.62 = 9,568.75 : x
  2. Step 2: Convert to fraction form
    15,857.59/21,883.62 = 9,568.75/x
  3. Step 3: Cross multiply
    15,857.59x = 21,883.62 × 9,568.75
  4. Step 4: Simplify right side
    15,857.59x = 209,398,888.88
  5. Step 5: Solve for x
    x = 209,398,888.88/15,857.59
  6. Step 6: Final answer
    x = 13,204.96

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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.