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Finding the Fourth Proportional to 23,437.31, 35,147.10 and 7,638.20

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Solution

The fourth proportional to 23,437.31, 35,147.10 and 7,638.20 is: 11,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.31 : 35,147.10 = 7,638.20 : x
  2. Step 2: Convert to fraction form
    23,437.31/35,147.10 = 7,638.20/x
  3. Step 3: Cross multiply
    23,437.31x = 35,147.10 × 7,638.20
  4. Step 4: Simplify right side
    23,437.31x = 268,460,579.22
  5. Step 5: Solve for x
    x = 268,460,579.22/23,437.31
  6. Step 6: Final answer
    x = 11,454.41

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