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Finding the Fourth Proportional to 16,549.81, 24,810.73 and 7,182.75

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Solution

The fourth proportional to 16,549.81, 24,810.73 and 7,182.75 is: 10,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.81 : 24,810.73 = 7,182.75 : x
  2. Step 2: Convert to fraction form
    16,549.81/24,810.73 = 7,182.75/x
  3. Step 3: Cross multiply
    16,549.81x = 24,810.73 × 7,182.75
  4. Step 4: Simplify right side
    16,549.81x = 178,209,146.85
  5. Step 5: Solve for x
    x = 178,209,146.85/16,549.81
  6. Step 6: Final answer
    x = 10,768.05

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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.