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Finding the Fourth Proportional to 23,509.96, 35,242.44 and 8,714.90

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Solution

The fourth proportional to 23,509.96, 35,242.44 and 8,714.90 is: 13,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.96 : 35,242.44 = 8,714.90 : x
  2. Step 2: Convert to fraction form
    23,509.96/35,242.44 = 8,714.90/x
  3. Step 3: Cross multiply
    23,509.96x = 35,242.44 × 8,714.90
  4. Step 4: Simplify right side
    23,509.96x = 307,134,340.36
  5. Step 5: Solve for x
    x = 307,134,340.36/23,509.96
  6. Step 6: Final answer
    x = 13,064.01

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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.