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Finding the Fourth Proportional to 17,564.73, 24,255.59 and 11,288.13

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Solution

The fourth proportional to 17,564.73, 24,255.59 and 11,288.13 is: 15,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.73 : 24,255.59 = 11,288.13 : x
  2. Step 2: Convert to fraction form
    17,564.73/24,255.59 = 11,288.13/x
  3. Step 3: Cross multiply
    17,564.73x = 24,255.59 × 11,288.13
  4. Step 4: Simplify right side
    17,564.73x = 273,800,196.71
  5. Step 5: Solve for x
    x = 273,800,196.71/17,564.73
  6. Step 6: Final answer
    x = 15,588.07

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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.