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Finding the Fourth Proportional to 23,824.32, 35,739.68 and 9,038.72

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Solution

The fourth proportional to 23,824.32, 35,739.68 and 9,038.72 is: 13,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.32 : 35,739.68 = 9,038.72 : x
  2. Step 2: Convert to fraction form
    23,824.32/35,739.68 = 9,038.72/x
  3. Step 3: Cross multiply
    23,824.32x = 35,739.68 × 9,038.72
  4. Step 4: Simplify right side
    23,824.32x = 323,040,960.41
  5. Step 5: Solve for x
    x = 323,040,960.41/23,824.32
  6. Step 6: Final answer
    x = 13,559.29

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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.