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Finding the Fourth Proportional to 23,577, 32,536.26 and 13,641

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Solution

The fourth proportional to 23,577, 32,536.26 and 13,641 is: 18,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577 : 32,536.26 = 13,641 : x
  2. Step 2: Convert to fraction form
    23,577/32,536.26 = 13,641/x
  3. Step 3: Cross multiply
    23,577x = 32,536.26 × 13,641
  4. Step 4: Simplify right side
    23,577x = 443,827,122.66
  5. Step 5: Solve for x
    x = 443,827,122.66/23,577
  6. Step 6: Final answer
    x = 18,824.58

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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.