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Finding the Fourth Proportional to 16,810.32, 23,198.33 and 9,640.50

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Solution

The fourth proportional to 16,810.32, 23,198.33 and 9,640.50 is: 13,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.32 : 23,198.33 = 9,640.50 : x
  2. Step 2: Convert to fraction form
    16,810.32/23,198.33 = 9,640.50/x
  3. Step 3: Cross multiply
    16,810.32x = 23,198.33 × 9,640.50
  4. Step 4: Simplify right side
    16,810.32x = 223,643,452.16
  5. Step 5: Solve for x
    x = 223,643,452.16/16,810.32
  6. Step 6: Final answer
    x = 13,303.94

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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.