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Finding the Fourth Proportional to 23,823.36, 35,720.64 and 11,347.20

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Solution

The fourth proportional to 23,823.36, 35,720.64 and 11,347.20 is: 17,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.36 : 35,720.64 = 11,347.20 : x
  2. Step 2: Convert to fraction form
    23,823.36/35,720.64 = 11,347.20/x
  3. Step 3: Cross multiply
    23,823.36x = 35,720.64 × 11,347.20
  4. Step 4: Simplify right side
    23,823.36x = 405,329,246.21
  5. Step 5: Solve for x
    x = 405,329,246.21/23,823.36
  6. Step 6: Final answer
    x = 17,013.94

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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.