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Finding the Fourth Proportional to 23,629.58, 32,610.28 and 13,019.20

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Solution

The fourth proportional to 23,629.58, 32,610.28 and 13,019.20 is: 17,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.58 : 32,610.28 = 13,019.20 : x
  2. Step 2: Convert to fraction form
    23,629.58/32,610.28 = 13,019.20/x
  3. Step 3: Cross multiply
    23,629.58x = 32,610.28 × 13,019.20
  4. Step 4: Simplify right side
    23,629.58x = 424,559,757.38
  5. Step 5: Solve for x
    x = 424,559,757.38/23,629.58
  6. Step 6: Final answer
    x = 17,967.30

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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.