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Finding the Fourth Proportional to 23,029.52, 34,535.64 and 7,442.96

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Solution

The fourth proportional to 23,029.52, 34,535.64 and 7,442.96 is: 11,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.52 : 34,535.64 = 7,442.96 : x
  2. Step 2: Convert to fraction form
    23,029.52/34,535.64 = 7,442.96/x
  3. Step 3: Cross multiply
    23,029.52x = 34,535.64 × 7,442.96
  4. Step 4: Simplify right side
    23,029.52x = 257,047,387.09
  5. Step 5: Solve for x
    x = 257,047,387.09/23,029.52
  6. Step 6: Final answer
    x = 11,161.65

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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.