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Finding the Fourth Proportional to 16,477.97, 24,716.95 and 6,617.25

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Solution

The fourth proportional to 16,477.97, 24,716.95 and 6,617.25 is: 9,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.97 : 24,716.95 = 6,617.25 : x
  2. Step 2: Convert to fraction form
    16,477.97/24,716.95 = 6,617.25/x
  3. Step 3: Cross multiply
    16,477.97x = 24,716.95 × 6,617.25
  4. Step 4: Simplify right side
    16,477.97x = 163,558,080.72
  5. Step 5: Solve for x
    x = 163,558,080.72/16,477.97
  6. Step 6: Final answer
    x = 9,925.86

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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.