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Finding the Fourth Proportional to 16,206.50, 24,309.76 and 5,262.50

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Solution

The fourth proportional to 16,206.50, 24,309.76 and 5,262.50 is: 7,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.50 : 24,309.76 = 5,262.50 : x
  2. Step 2: Convert to fraction form
    16,206.50/24,309.76 = 5,262.50/x
  3. Step 3: Cross multiply
    16,206.50x = 24,309.76 × 5,262.50
  4. Step 4: Simplify right side
    16,206.50x = 127,930,112.00
  5. Step 5: Solve for x
    x = 127,930,112.00/16,206.50
  6. Step 6: Final answer
    x = 7,893.75

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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.