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Finding the Fourth Proportional to 28,753.28, 39,679.12 and 16,178

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Solution

The fourth proportional to 28,753.28, 39,679.12 and 16,178 is: 22,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,753.28 : 39,679.12 = 16,178 : x
  2. Step 2: Convert to fraction form
    28,753.28/39,679.12 = 16,178/x
  3. Step 3: Cross multiply
    28,753.28x = 39,679.12 × 16,178
  4. Step 4: Simplify right side
    28,753.28x = 641,928,803.36
  5. Step 5: Solve for x
    x = 641,928,803.36/28,753.28
  6. Step 6: Final answer
    x = 22,325.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.