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Finding the Fourth Proportional to 35,643.32, 53,464.42 and 12,269.96

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Solution

The fourth proportional to 35,643.32, 53,464.42 and 12,269.96 is: 18,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.32 : 53,464.42 = 12,269.96 : x
  2. Step 2: Convert to fraction form
    35,643.32/53,464.42 = 12,269.96/x
  3. Step 3: Cross multiply
    35,643.32x = 53,464.42 × 12,269.96
  4. Step 4: Simplify right side
    35,643.32x = 656,006,294.82
  5. Step 5: Solve for x
    x = 656,006,294.82/35,643.32
  6. Step 6: Final answer
    x = 18,404.75

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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.