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Finding the Fourth Proportional to 29,323.84, 43,984.32 and 9,611.68

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Solution

The fourth proportional to 29,323.84, 43,984.32 and 9,611.68 is: 14,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323.84 : 43,984.32 = 9,611.68 : x
  2. Step 2: Convert to fraction form
    29,323.84/43,984.32 = 9,611.68/x
  3. Step 3: Cross multiply
    29,323.84x = 43,984.32 × 9,611.68
  4. Step 4: Simplify right side
    29,323.84x = 422,763,208.86
  5. Step 5: Solve for x
    x = 422,763,208.86/29,323.84
  6. Step 6: Final answer
    x = 14,417.05

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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.