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Finding the Fourth Proportional to 29,134.12, 43,707.66 and 8,356

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Solution

The fourth proportional to 29,134.12, 43,707.66 and 8,356 is: 12,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134.12 : 43,707.66 = 8,356 : x
  2. Step 2: Convert to fraction form
    29,134.12/43,707.66 = 8,356/x
  3. Step 3: Cross multiply
    29,134.12x = 43,707.66 × 8,356
  4. Step 4: Simplify right side
    29,134.12x = 365,221,206.96
  5. Step 5: Solve for x
    x = 365,221,206.96/29,134.12
  6. Step 6: Final answer
    x = 12,535.86

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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.