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Finding the Fourth Proportional to 35,896.32, 53,847.36 and 12,522.24

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Solution

The fourth proportional to 35,896.32, 53,847.36 and 12,522.24 is: 18,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.32 : 53,847.36 = 12,522.24 : x
  2. Step 2: Convert to fraction form
    35,896.32/53,847.36 = 12,522.24/x
  3. Step 3: Cross multiply
    35,896.32x = 53,847.36 × 12,522.24
  4. Step 4: Simplify right side
    35,896.32x = 674,289,565.29
  5. Step 5: Solve for x
    x = 674,289,565.29/35,896.32
  6. Step 6: Final answer
    x = 18,784.36

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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.