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Finding the Fourth Proportional to 15,725.91, 21,710.70 and 10,427.88

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Solution

The fourth proportional to 15,725.91, 21,710.70 and 10,427.88 is: 14,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.91 : 21,710.70 = 10,427.88 : x
  2. Step 2: Convert to fraction form
    15,725.91/21,710.70 = 10,427.88/x
  3. Step 3: Cross multiply
    15,725.91x = 21,710.70 × 10,427.88
  4. Step 4: Simplify right side
    15,725.91x = 226,396,574.32
  5. Step 5: Solve for x
    x = 226,396,574.32/15,725.91
  6. Step 6: Final answer
    x = 14,396.41

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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.