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Finding the Fourth Proportional to 15,574.97, 21,496.25 and 9,287.75

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Solution

The fourth proportional to 15,574.97, 21,496.25 and 9,287.75 is: 12,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.97 : 21,496.25 = 9,287.75 : x
  2. Step 2: Convert to fraction form
    15,574.97/21,496.25 = 9,287.75/x
  3. Step 3: Cross multiply
    15,574.97x = 21,496.25 × 9,287.75
  4. Step 4: Simplify right side
    15,574.97x = 199,651,749.50
  5. Step 5: Solve for x
    x = 199,651,749.50/15,574.97
  6. Step 6: Final answer
    x = 12,818.76

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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.