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Finding the Fourth Proportional to 29,311.47, 43,973.96 and 9,589.59

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Solution

The fourth proportional to 29,311.47, 43,973.96 and 9,589.59 is: 14,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311.47 : 43,973.96 = 9,589.59 : x
  2. Step 2: Convert to fraction form
    29,311.47/43,973.96 = 9,589.59/x
  3. Step 3: Cross multiply
    29,311.47x = 43,973.96 × 9,589.59
  4. Step 4: Simplify right side
    29,311.47x = 421,692,199.13
  5. Step 5: Solve for x
    x = 421,692,199.13/29,311.47
  6. Step 6: Final answer
    x = 14,386.59

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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.