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Finding the Fourth Proportional to 29,709.64, 44,557.12 and 13,073.84

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Solution

The fourth proportional to 29,709.64, 44,557.12 and 13,073.84 is: 19,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.64 : 44,557.12 = 13,073.84 : x
  2. Step 2: Convert to fraction form
    29,709.64/44,557.12 = 13,073.84/x
  3. Step 3: Cross multiply
    29,709.64x = 44,557.12 × 13,073.84
  4. Step 4: Simplify right side
    29,709.64x = 582,532,657.74
  5. Step 5: Solve for x
    x = 582,532,657.74/29,709.64
  6. Step 6: Final answer
    x = 19,607.53

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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.