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Finding the Fourth Proportional to 30,012.47, 41,416.74 and 16,583.48

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Solution

The fourth proportional to 30,012.47, 41,416.74 and 16,583.48 is: 22,884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.47 : 41,416.74 = 16,583.48 : x
  2. Step 2: Convert to fraction form
    30,012.47/41,416.74 = 16,583.48/x
  3. Step 3: Cross multiply
    30,012.47x = 41,416.74 × 16,583.48
  4. Step 4: Simplify right side
    30,012.47x = 686,833,472.37
  5. Step 5: Solve for x
    x = 686,833,472.37/30,012.47
  6. Step 6: Final answer
    x = 22,884.94

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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.