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Finding the Fourth Proportional to 23,856.88, 35,779.72 and 9,813.28

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Solution

The fourth proportional to 23,856.88, 35,779.72 and 9,813.28 is: 14,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.88 : 35,779.72 = 9,813.28 : x
  2. Step 2: Convert to fraction form
    23,856.88/35,779.72 = 9,813.28/x
  3. Step 3: Cross multiply
    23,856.88x = 35,779.72 × 9,813.28
  4. Step 4: Simplify right side
    23,856.88x = 351,116,410.68
  5. Step 5: Solve for x
    x = 351,116,410.68/23,856.88
  6. Step 6: Final answer
    x = 14,717.62

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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.