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Finding the Fourth Proportional to 15,921.64, 21,966.18 and 10,945

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Solution

The fourth proportional to 15,921.64, 21,966.18 and 10,945 is: 15,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.64 : 21,966.18 = 10,945 : x
  2. Step 2: Convert to fraction form
    15,921.64/21,966.18 = 10,945/x
  3. Step 3: Cross multiply
    15,921.64x = 21,966.18 × 10,945
  4. Step 4: Simplify right side
    15,921.64x = 240,419,840.10
  5. Step 5: Solve for x
    x = 240,419,840.10/15,921.64
  6. Step 6: Final answer
    x = 15,100.19

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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.