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Finding the Fourth Proportional to 19,671.93, 29,516.60 and 10,309.71

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Solution

The fourth proportional to 19,671.93, 29,516.60 and 10,309.71 is: 15,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.93 : 29,516.60 = 10,309.71 : x
  2. Step 2: Convert to fraction form
    19,671.93/29,516.60 = 10,309.71/x
  3. Step 3: Cross multiply
    19,671.93x = 29,516.60 × 10,309.71
  4. Step 4: Simplify right side
    19,671.93x = 304,307,586.19
  5. Step 5: Solve for x
    x = 304,307,586.19/19,671.93
  6. Step 6: Final answer
    x = 15,469.13

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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.