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Finding the Fourth Proportional to 23,658.36, 32,632.92 and 14,217

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Solution

The fourth proportional to 23,658.36, 32,632.92 and 14,217 is: 19,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.36 : 32,632.92 = 14,217 : x
  2. Step 2: Convert to fraction form
    23,658.36/32,632.92 = 14,217/x
  3. Step 3: Cross multiply
    23,658.36x = 32,632.92 × 14,217
  4. Step 4: Simplify right side
    23,658.36x = 463,942,223.64
  5. Step 5: Solve for x
    x = 463,942,223.64/23,658.36
  6. Step 6: Final answer
    x = 19,610.08

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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.