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Finding the Fourth Proportional to 23,658.77, 32,647.91 and 13,586.42

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Solution

The fourth proportional to 23,658.77, 32,647.91 and 13,586.42 is: 18,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.77 : 32,647.91 = 13,586.42 : x
  2. Step 2: Convert to fraction form
    23,658.77/32,647.91 = 13,586.42/x
  3. Step 3: Cross multiply
    23,658.77x = 32,647.91 × 13,586.42
  4. Step 4: Simplify right side
    23,658.77x = 443,567,986.21
  5. Step 5: Solve for x
    x = 443,567,986.21/23,658.77
  6. Step 6: Final answer
    x = 18,748.57

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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.