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Finding the Fourth Proportional to 23,567.50, 32,523.91 and 12,957.90

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Solution

The fourth proportional to 23,567.50, 32,523.91 and 12,957.90 is: 17,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.50 : 32,523.91 = 12,957.90 : x
  2. Step 2: Convert to fraction form
    23,567.50/32,523.91 = 12,957.90/x
  3. Step 3: Cross multiply
    23,567.50x = 32,523.91 × 12,957.90
  4. Step 4: Simplify right side
    23,567.50x = 421,441,573.39
  5. Step 5: Solve for x
    x = 421,441,573.39/23,567.50
  6. Step 6: Final answer
    x = 17,882.32

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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.