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Finding the Fourth Proportional to 23,474.76, 32,384.34 and 13,533

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Solution

The fourth proportional to 23,474.76, 32,384.34 and 13,533 is: 18,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.76 : 32,384.34 = 13,533 : x
  2. Step 2: Convert to fraction form
    23,474.76/32,384.34 = 13,533/x
  3. Step 3: Cross multiply
    23,474.76x = 32,384.34 × 13,533
  4. Step 4: Simplify right side
    23,474.76x = 438,257,273.22
  5. Step 5: Solve for x
    x = 438,257,273.22/23,474.76
  6. Step 6: Final answer
    x = 18,669.30

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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.