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Finding the Fourth Proportional to 23,529.50, 35,294.29 and 16,540.74

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Solution

The fourth proportional to 23,529.50, 35,294.29 and 16,540.74 is: 24,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.50 : 35,294.29 = 16,540.74 : x
  2. Step 2: Convert to fraction form
    23,529.50/35,294.29 = 16,540.74/x
  3. Step 3: Cross multiply
    23,529.50x = 35,294.29 × 16,540.74
  4. Step 4: Simplify right side
    23,529.50x = 583,793,674.37
  5. Step 5: Solve for x
    x = 583,793,674.37/23,529.50
  6. Step 6: Final answer
    x = 24,811.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.