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Finding the Fourth Proportional to 16,583.02, 24,870.26 and 4,893.50

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Solution

The fourth proportional to 16,583.02, 24,870.26 and 4,893.50 is: 7,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.02 : 24,870.26 = 4,893.50 : x
  2. Step 2: Convert to fraction form
    16,583.02/24,870.26 = 4,893.50/x
  3. Step 3: Cross multiply
    16,583.02x = 24,870.26 × 4,893.50
  4. Step 4: Simplify right side
    16,583.02x = 121,702,617.31
  5. Step 5: Solve for x
    x = 121,702,617.31/16,583.02
  6. Step 6: Final answer
    x = 7,338.99

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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.