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Finding the Fourth Proportional to 13,120.42, 19,667.07 and 6,094.71

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Solution

The fourth proportional to 13,120.42, 19,667.07 and 6,094.71 is: 9,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.42 : 19,667.07 = 6,094.71 : x
  2. Step 2: Convert to fraction form
    13,120.42/19,667.07 = 6,094.71/x
  3. Step 3: Cross multiply
    13,120.42x = 19,667.07 × 6,094.71
  4. Step 4: Simplify right side
    13,120.42x = 119,865,018.09
  5. Step 5: Solve for x
    x = 119,865,018.09/13,120.42
  6. Step 6: Final answer
    x = 9,135.76

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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.