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Finding the Fourth Proportional to 30,253.88, 41,749.86 and 16,823.48

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Solution

The fourth proportional to 30,253.88, 41,749.86 and 16,823.48 is: 23,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.88 : 41,749.86 = 16,823.48 : x
  2. Step 2: Convert to fraction form
    30,253.88/41,749.86 = 16,823.48/x
  3. Step 3: Cross multiply
    30,253.88x = 41,749.86 × 16,823.48
  4. Step 4: Simplify right side
    30,253.88x = 702,377,934.71
  5. Step 5: Solve for x
    x = 702,377,934.71/30,253.88
  6. Step 6: Final answer
    x = 23,216.13

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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.