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Finding the Fourth Proportional to 23,642, 32,629.20 and 15,256.88

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Solution

The fourth proportional to 23,642, 32,629.20 and 15,256.88 is: 21,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642 : 32,629.20 = 15,256.88 : x
  2. Step 2: Convert to fraction form
    23,642/32,629.20 = 15,256.88/x
  3. Step 3: Cross multiply
    23,642x = 32,629.20 × 15,256.88
  4. Step 4: Simplify right side
    23,642x = 497,819,788.90
  5. Step 5: Solve for x
    x = 497,819,788.90/23,642
  6. Step 6: Final answer
    x = 21,056.59

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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.