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Finding the Fourth Proportional to 27,913.96, 41,900.12 and 17,533

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Solution

The fourth proportional to 27,913.96, 41,900.12 and 17,533 is: 26,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.96 : 41,900.12 = 17,533 : x
  2. Step 2: Convert to fraction form
    27,913.96/41,900.12 = 17,533/x
  3. Step 3: Cross multiply
    27,913.96x = 41,900.12 × 17,533
  4. Step 4: Simplify right side
    27,913.96x = 734,634,803.96
  5. Step 5: Solve for x
    x = 734,634,803.96/27,913.96
  6. Step 6: Final answer
    x = 26,317.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.