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Finding the Fourth Proportional to 30,231.63, 41,718.92 and 16,802.77

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Solution

The fourth proportional to 30,231.63, 41,718.92 and 16,802.77 is: 23,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.63 : 41,718.92 = 16,802.77 : x
  2. Step 2: Convert to fraction form
    30,231.63/41,718.92 = 16,802.77/x
  3. Step 3: Cross multiply
    30,231.63x = 41,718.92 × 16,802.77
  4. Step 4: Simplify right side
    30,231.63x = 700,993,331.76
  5. Step 5: Solve for x
    x = 700,993,331.76/30,231.63
  6. Step 6: Final answer
    x = 23,187.41

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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.