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Finding the Fourth Proportional to 16,534.32, 22,817.63 and 8,980.66

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Solution

The fourth proportional to 16,534.32, 22,817.63 and 8,980.66 is: 12,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.32 : 22,817.63 = 8,980.66 : x
  2. Step 2: Convert to fraction form
    16,534.32/22,817.63 = 8,980.66/x
  3. Step 3: Cross multiply
    16,534.32x = 22,817.63 × 8,980.66
  4. Step 4: Simplify right side
    16,534.32x = 204,917,428.01
  5. Step 5: Solve for x
    x = 204,917,428.01/16,534.32
  6. Step 6: Final answer
    x = 12,393.46

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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.