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Finding the Fourth Proportional to 17,564.36, 24,255.07 and 11,287.76

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Solution

The fourth proportional to 17,564.36, 24,255.07 and 11,287.76 is: 15,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.36 : 24,255.07 = 11,287.76 : x
  2. Step 2: Convert to fraction form
    17,564.36/24,255.07 = 11,287.76/x
  3. Step 3: Cross multiply
    17,564.36x = 24,255.07 × 11,287.76
  4. Step 4: Simplify right side
    17,564.36x = 273,785,259.45
  5. Step 5: Solve for x
    x = 273,785,259.45/17,564.36
  6. Step 6: Final answer
    x = 15,587.55

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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.