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Finding the Fourth Proportional to 15,857.10, 21,884.04 and 9,889.56

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Solution

The fourth proportional to 15,857.10, 21,884.04 and 9,889.56 is: 13,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.10 : 21,884.04 = 9,889.56 : x
  2. Step 2: Convert to fraction form
    15,857.10/21,884.04 = 9,889.56/x
  3. Step 3: Cross multiply
    15,857.10x = 21,884.04 × 9,889.56
  4. Step 4: Simplify right side
    15,857.10x = 216,423,526.62
  5. Step 5: Solve for x
    x = 216,423,526.62/15,857.10
  6. Step 6: Final answer
    x = 13,648.37

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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.