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Finding the Fourth Proportional to 23,584.36, 32,532.90 and 14,737

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Solution

The fourth proportional to 23,584.36, 32,532.90 and 14,737 is: 20,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.36 : 32,532.90 = 14,737 : x
  2. Step 2: Convert to fraction form
    23,584.36/32,532.90 = 14,737/x
  3. Step 3: Cross multiply
    23,584.36x = 32,532.90 × 14,737
  4. Step 4: Simplify right side
    23,584.36x = 479,437,347.30
  5. Step 5: Solve for x
    x = 479,437,347.30/23,584.36
  6. Step 6: Final answer
    x = 20,328.61

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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.