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Finding the Fourth Proportional to 30,251.34, 41,746.64 and 16,822.53

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Solution

The fourth proportional to 30,251.34, 41,746.64 and 16,822.53 is: 23,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251.34 : 41,746.64 = 16,822.53 : x
  2. Step 2: Convert to fraction form
    30,251.34/41,746.64 = 16,822.53/x
  3. Step 3: Cross multiply
    30,251.34x = 41,746.64 × 16,822.53
  4. Step 4: Simplify right side
    30,251.34x = 702,284,019.69
  5. Step 5: Solve for x
    x = 702,284,019.69/30,251.34
  6. Step 6: Final answer
    x = 23,214.97

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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.