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Finding the Fourth Proportional to 16,533.94, 24,796.04 and 9,137.02

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Solution

The fourth proportional to 16,533.94, 24,796.04 and 9,137.02 is: 13,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.94 : 24,796.04 = 9,137.02 : x
  2. Step 2: Convert to fraction form
    16,533.94/24,796.04 = 9,137.02/x
  3. Step 3: Cross multiply
    16,533.94x = 24,796.04 × 9,137.02
  4. Step 4: Simplify right side
    16,533.94x = 226,561,913.40
  5. Step 5: Solve for x
    x = 226,561,913.40/16,533.94
  6. Step 6: Final answer
    x = 13,702.84

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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.