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Finding the Fourth Proportional to 16,980.57, 23,433.18 and 9,905.63

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Solution

The fourth proportional to 16,980.57, 23,433.18 and 9,905.63 is: 13,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.57 : 23,433.18 = 9,905.63 : x
  2. Step 2: Convert to fraction form
    16,980.57/23,433.18 = 9,905.63/x
  3. Step 3: Cross multiply
    16,980.57x = 23,433.18 × 9,905.63
  4. Step 4: Simplify right side
    16,980.57x = 232,120,293.64
  5. Step 5: Solve for x
    x = 232,120,293.64/16,980.57
  6. Step 6: Final answer
    x = 13,669.76

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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.