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Finding the Fourth Proportional to 14,601.64, 20,149.11 and 9,557.89

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Solution

The fourth proportional to 14,601.64, 20,149.11 and 9,557.89 is: 13,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.64 : 20,149.11 = 9,557.89 : x
  2. Step 2: Convert to fraction form
    14,601.64/20,149.11 = 9,557.89/x
  3. Step 3: Cross multiply
    14,601.64x = 20,149.11 × 9,557.89
  4. Step 4: Simplify right side
    14,601.64x = 192,582,976.98
  5. Step 5: Solve for x
    x = 192,582,976.98/14,601.64
  6. Step 6: Final answer
    x = 13,189.13

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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.