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Finding the Fourth Proportional to 23,580.54, 35,324.52 and 13,699.14

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Solution

The fourth proportional to 23,580.54, 35,324.52 and 13,699.14 is: 20,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.54 : 35,324.52 = 13,699.14 : x
  2. Step 2: Convert to fraction form
    23,580.54/35,324.52 = 13,699.14/x
  3. Step 3: Cross multiply
    23,580.54x = 35,324.52 × 13,699.14
  4. Step 4: Simplify right side
    23,580.54x = 483,915,544.91
  5. Step 5: Solve for x
    x = 483,915,544.91/23,580.54
  6. Step 6: Final answer
    x = 20,521.82

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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.