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Finding the Fourth Proportional to 23,531.54, 35,301.63 and 9,491.54

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Solution

The fourth proportional to 23,531.54, 35,301.63 and 9,491.54 is: 14,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.54 : 35,301.63 = 9,491.54 : x
  2. Step 2: Convert to fraction form
    23,531.54/35,301.63 = 9,491.54/x
  3. Step 3: Cross multiply
    23,531.54x = 35,301.63 × 9,491.54
  4. Step 4: Simplify right side
    23,531.54x = 335,066,833.21
  5. Step 5: Solve for x
    x = 335,066,833.21/23,531.54
  6. Step 6: Final answer
    x = 14,239.05

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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.