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Finding the Fourth Proportional to 23,509.37, 35,264.19 and 9,475.85

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Solution

The fourth proportional to 23,509.37, 35,264.19 and 9,475.85 is: 14,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.37 : 35,264.19 = 9,475.85 : x
  2. Step 2: Convert to fraction form
    23,509.37/35,264.19 = 9,475.85/x
  3. Step 3: Cross multiply
    23,509.37x = 35,264.19 × 9,475.85
  4. Step 4: Simplify right side
    23,509.37x = 334,158,174.81
  5. Step 5: Solve for x
    x = 334,158,174.81/23,509.37
  6. Step 6: Final answer
    x = 14,213.83

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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.