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Finding the Fourth Proportional to 16,477.56, 22,739.40 and 9,403.84

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Solution

The fourth proportional to 16,477.56, 22,739.40 and 9,403.84 is: 12,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.56 : 22,739.40 = 9,403.84 : x
  2. Step 2: Convert to fraction form
    16,477.56/22,739.40 = 9,403.84/x
  3. Step 3: Cross multiply
    16,477.56x = 22,739.40 × 9,403.84
  4. Step 4: Simplify right side
    16,477.56x = 213,837,679.30
  5. Step 5: Solve for x
    x = 213,837,679.30/16,477.56
  6. Step 6: Final answer
    x = 12,977.51

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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.