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Finding the Fourth Proportional to 12,931.68, 19,381.83 and 5,902.05

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Solution

The fourth proportional to 12,931.68, 19,381.83 and 5,902.05 is: 8,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.68 : 19,381.83 = 5,902.05 : x
  2. Step 2: Convert to fraction form
    12,931.68/19,381.83 = 5,902.05/x
  3. Step 3: Cross multiply
    12,931.68x = 19,381.83 × 5,902.05
  4. Step 4: Simplify right side
    12,931.68x = 114,392,529.75
  5. Step 5: Solve for x
    x = 114,392,529.75/12,931.68
  6. Step 6: Final answer
    x = 8,845.91

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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.