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Finding the Fourth Proportional to 29,443.02, 40,630.77 and 16,014

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Solution

The fourth proportional to 29,443.02, 40,630.77 and 16,014 is: 22,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443.02 : 40,630.77 = 16,014 : x
  2. Step 2: Convert to fraction form
    29,443.02/40,630.77 = 16,014/x
  3. Step 3: Cross multiply
    29,443.02x = 40,630.77 × 16,014
  4. Step 4: Simplify right side
    29,443.02x = 650,661,150.78
  5. Step 5: Solve for x
    x = 650,661,150.78/29,443.02
  6. Step 6: Final answer
    x = 22,098.99

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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.