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Finding the Fourth Proportional to 16,477.97, 22,740.77 and 9,405.46

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Solution

The fourth proportional to 16,477.97, 22,740.77 and 9,405.46 is: 12,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.97 : 22,740.77 = 9,405.46 : x
  2. Step 2: Convert to fraction form
    16,477.97/22,740.77 = 9,405.46/x
  3. Step 3: Cross multiply
    16,477.97x = 22,740.77 × 9,405.46
  4. Step 4: Simplify right side
    16,477.97x = 213,887,241.87
  5. Step 5: Solve for x
    x = 213,887,241.87/16,477.97
  6. Step 6: Final answer
    x = 12,980.19

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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.