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Finding the Fourth Proportional to 23,338.66, 32,206.64 and 12,728.50

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Solution

The fourth proportional to 23,338.66, 32,206.64 and 12,728.50 is: 17,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.66 : 32,206.64 = 12,728.50 : x
  2. Step 2: Convert to fraction form
    23,338.66/32,206.64 = 12,728.50/x
  3. Step 3: Cross multiply
    23,338.66x = 32,206.64 × 12,728.50
  4. Step 4: Simplify right side
    23,338.66x = 409,942,217.24
  5. Step 5: Solve for x
    x = 409,942,217.24/23,338.66
  6. Step 6: Final answer
    x = 17,564.94

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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.