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Finding the Fourth Proportional to 16,375.50, 22,601.84 and 10,406.00

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Solution

The fourth proportional to 16,375.50, 22,601.84 and 10,406.00 is: 14,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.50 : 22,601.84 = 10,406.00 : x
  2. Step 2: Convert to fraction form
    16,375.50/22,601.84 = 10,406.00/x
  3. Step 3: Cross multiply
    16,375.50x = 22,601.84 × 10,406.00
  4. Step 4: Simplify right side
    16,375.50x = 235,194,751.51
  5. Step 5: Solve for x
    x = 235,194,751.51/16,375.50
  6. Step 6: Final answer
    x = 14,362.60

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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.