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Finding the Fourth Proportional to 23,222.22, 34,835.76 and 7,641.06

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Solution

The fourth proportional to 23,222.22, 34,835.76 and 7,641.06 is: 11,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.22 : 34,835.76 = 7,641.06 : x
  2. Step 2: Convert to fraction form
    23,222.22/34,835.76 = 7,641.06/x
  3. Step 3: Cross multiply
    23,222.22x = 34,835.76 × 7,641.06
  4. Step 4: Simplify right side
    23,222.22x = 266,182,132.31
  5. Step 5: Solve for x
    x = 266,182,132.31/23,222.22
  6. Step 6: Final answer
    x = 11,462.39

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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.