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Finding the Fourth Proportional to 23,328, 32,192.64 and 14,944.50

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Solution

The fourth proportional to 23,328, 32,192.64 and 14,944.50 is: 20,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328 : 32,192.64 = 14,944.50 : x
  2. Step 2: Convert to fraction form
    23,328/32,192.64 = 14,944.50/x
  3. Step 3: Cross multiply
    23,328x = 32,192.64 × 14,944.50
  4. Step 4: Simplify right side
    23,328x = 481,102,908.48
  5. Step 5: Solve for x
    x = 481,102,908.48/23,328
  6. Step 6: Final answer
    x = 20,623.41

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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.