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Finding the Fourth Proportional to 29,313.86, 43,969.34 and 9,589.82

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Solution

The fourth proportional to 29,313.86, 43,969.34 and 9,589.82 is: 14,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,313.86 : 43,969.34 = 9,589.82 : x
  2. Step 2: Convert to fraction form
    29,313.86/43,969.34 = 9,589.82/x
  3. Step 3: Cross multiply
    29,313.86x = 43,969.34 × 9,589.82
  4. Step 4: Simplify right side
    29,313.86x = 421,658,056.12
  5. Step 5: Solve for x
    x = 421,658,056.12/29,313.86
  6. Step 6: Final answer
    x = 14,384.26

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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.