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Finding the Fourth Proportional to 14,777.05, 20,393.55 and 8,405.65

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Solution

The fourth proportional to 14,777.05, 20,393.55 and 8,405.65 is: 11,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.05 : 20,393.55 = 8,405.65 : x
  2. Step 2: Convert to fraction form
    14,777.05/20,393.55 = 8,405.65/x
  3. Step 3: Cross multiply
    14,777.05x = 20,393.55 × 8,405.65
  4. Step 4: Simplify right side
    14,777.05x = 171,421,043.56
  5. Step 5: Solve for x
    x = 171,421,043.56/14,777.05
  6. Step 6: Final answer
    x = 11,600.49

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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.