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Finding the Fourth Proportional to 23,633.49, 32,594.35 and 14,200.23

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Solution

The fourth proportional to 23,633.49, 32,594.35 and 14,200.23 is: 19,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.49 : 32,594.35 = 14,200.23 : x
  2. Step 2: Convert to fraction form
    23,633.49/32,594.35 = 14,200.23/x
  3. Step 3: Cross multiply
    23,633.49x = 32,594.35 × 14,200.23
  4. Step 4: Simplify right side
    23,633.49x = 462,847,266.70
  5. Step 5: Solve for x
    x = 462,847,266.70/23,633.49
  6. Step 6: Final answer
    x = 19,584.38

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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.