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Finding the Fourth Proportional to 13,782.92, 20,666.55 and 9,405.68

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Solution

The fourth proportional to 13,782.92, 20,666.55 and 9,405.68 is: 14,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.92 : 20,666.55 = 9,405.68 : x
  2. Step 2: Convert to fraction form
    13,782.92/20,666.55 = 9,405.68/x
  3. Step 3: Cross multiply
    13,782.92x = 20,666.55 × 9,405.68
  4. Step 4: Simplify right side
    13,782.92x = 194,382,956.00
  5. Step 5: Solve for x
    x = 194,382,956.00/13,782.92
  6. Step 6: Final answer
    x = 14,103.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.