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Finding the Fourth Proportional to 16,824.92, 25,237.59 and 7,206.50

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Solution

The fourth proportional to 16,824.92, 25,237.59 and 7,206.50 is: 10,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.92 : 25,237.59 = 7,206.50 : x
  2. Step 2: Convert to fraction form
    16,824.92/25,237.59 = 7,206.50/x
  3. Step 3: Cross multiply
    16,824.92x = 25,237.59 × 7,206.50
  4. Step 4: Simplify right side
    16,824.92x = 181,874,692.34
  5. Step 5: Solve for x
    x = 181,874,692.34/16,824.92
  6. Step 6: Final answer
    x = 10,809.84

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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.