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Finding the Fourth Proportional to 23,224.34, 34,840.64 and 7,430.81

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Solution

The fourth proportional to 23,224.34, 34,840.64 and 7,430.81 is: 11,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.34 : 34,840.64 = 7,430.81 : x
  2. Step 2: Convert to fraction form
    23,224.34/34,840.64 = 7,430.81/x
  3. Step 3: Cross multiply
    23,224.34x = 34,840.64 × 7,430.81
  4. Step 4: Simplify right side
    23,224.34x = 258,894,020.49
  5. Step 5: Solve for x
    x = 258,894,020.49/23,224.34
  6. Step 6: Final answer
    x = 11,147.53

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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.