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Finding the Fourth Proportional to 15,694.42, 21,649.25 and 9,403.15

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Solution

The fourth proportional to 15,694.42, 21,649.25 and 9,403.15 is: 12,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.42 : 21,649.25 = 9,403.15 : x
  2. Step 2: Convert to fraction form
    15,694.42/21,649.25 = 9,403.15/x
  3. Step 3: Cross multiply
    15,694.42x = 21,649.25 × 9,403.15
  4. Step 4: Simplify right side
    15,694.42x = 203,571,168.65
  5. Step 5: Solve for x
    x = 203,571,168.65/15,694.42
  6. Step 6: Final answer
    x = 12,970.93

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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.