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Finding the Fourth Proportional to 23,222.92, 32,048.50 and 13,285

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Solution

The fourth proportional to 23,222.92, 32,048.50 and 13,285 is: 18,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.92 : 32,048.50 = 13,285 : x
  2. Step 2: Convert to fraction form
    23,222.92/32,048.50 = 13,285/x
  3. Step 3: Cross multiply
    23,222.92x = 32,048.50 × 13,285
  4. Step 4: Simplify right side
    23,222.92x = 425,764,322.50
  5. Step 5: Solve for x
    x = 425,764,322.50/23,222.92
  6. Step 6: Final answer
    x = 18,333.80

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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.