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Finding the Fourth Proportional to 19,804.31, 29,706.59 and 5,013.22

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Solution

The fourth proportional to 19,804.31, 29,706.59 and 5,013.22 is: 7,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.31 : 29,706.59 = 5,013.22 : x
  2. Step 2: Convert to fraction form
    19,804.31/29,706.59 = 5,013.22/x
  3. Step 3: Cross multiply
    19,804.31x = 29,706.59 × 5,013.22
  4. Step 4: Simplify right side
    19,804.31x = 148,925,750.14
  5. Step 5: Solve for x
    x = 148,925,750.14/19,804.31
  6. Step 6: Final answer
    x = 7,519.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.