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Finding the Fourth Proportional to 23,052, 34,570.29 and 9,008.39

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Solution

The fourth proportional to 23,052, 34,570.29 and 9,008.39 is: 13,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052 : 34,570.29 = 9,008.39 : x
  2. Step 2: Convert to fraction form
    23,052/34,570.29 = 9,008.39/x
  3. Step 3: Cross multiply
    23,052x = 34,570.29 × 9,008.39
  4. Step 4: Simplify right side
    23,052x = 311,422,481.88
  5. Step 5: Solve for x
    x = 311,422,481.88/23,052
  6. Step 6: Final answer
    x = 13,509.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.