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Finding the Fourth Proportional to 15,736.64, 21,725.60 and 10,438.64

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Solution

The fourth proportional to 15,736.64, 21,725.60 and 10,438.64 is: 14,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.64 : 21,725.60 = 10,438.64 : x
  2. Step 2: Convert to fraction form
    15,736.64/21,725.60 = 10,438.64/x
  3. Step 3: Cross multiply
    15,736.64x = 21,725.60 × 10,438.64
  4. Step 4: Simplify right side
    15,736.64x = 226,785,717.18
  5. Step 5: Solve for x
    x = 226,785,717.18/15,736.64
  6. Step 6: Final answer
    x = 14,411.32

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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.