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Finding the Fourth Proportional to 23,024.50, 34,536.75 and 7,442.13

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Solution

The fourth proportional to 23,024.50, 34,536.75 and 7,442.13 is: 11,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.50 : 34,536.75 = 7,442.13 : x
  2. Step 2: Convert to fraction form
    23,024.50/34,536.75 = 7,442.13/x
  3. Step 3: Cross multiply
    23,024.50x = 34,536.75 × 7,442.13
  4. Step 4: Simplify right side
    23,024.50x = 257,026,810.59
  5. Step 5: Solve for x
    x = 257,026,810.59/23,024.50
  6. Step 6: Final answer
    x = 11,163.19

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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.