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Finding the Fourth Proportional to 23,206.50, 32,029.02 and 13,774.86

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Solution

The fourth proportional to 23,206.50, 32,029.02 and 13,774.86 is: 19,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.50 : 32,029.02 = 13,774.86 : x
  2. Step 2: Convert to fraction form
    23,206.50/32,029.02 = 13,774.86/x
  3. Step 3: Cross multiply
    23,206.50x = 32,029.02 × 13,774.86
  4. Step 4: Simplify right side
    23,206.50x = 441,195,266.44
  5. Step 5: Solve for x
    x = 441,195,266.44/23,206.50
  6. Step 6: Final answer
    x = 19,011.71

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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.