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Finding the Fourth Proportional to 29,184.71, 43,783.56 and 8,406.59

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Solution

The fourth proportional to 29,184.71, 43,783.56 and 8,406.59 is: 12,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184.71 : 43,783.56 = 8,406.59 : x
  2. Step 2: Convert to fraction form
    29,184.71/43,783.56 = 8,406.59/x
  3. Step 3: Cross multiply
    29,184.71x = 43,783.56 × 8,406.59
  4. Step 4: Simplify right side
    29,184.71x = 368,070,218.74
  5. Step 5: Solve for x
    x = 368,070,218.74/29,184.71
  6. Step 6: Final answer
    x = 12,611.75

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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.