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Finding the Fourth Proportional to 12,058.23, 16,622.62 and 8,461.83

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Solution

The fourth proportional to 12,058.23, 16,622.62 and 8,461.83 is: 11,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.23 : 16,622.62 = 8,461.83 : x
  2. Step 2: Convert to fraction form
    12,058.23/16,622.62 = 8,461.83/x
  3. Step 3: Cross multiply
    12,058.23x = 16,622.62 × 8,461.83
  4. Step 4: Simplify right side
    12,058.23x = 140,657,825.77
  5. Step 5: Solve for x
    x = 140,657,825.77/12,058.23
  6. Step 6: Final answer
    x = 11,664.88

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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.