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Finding the Fourth Proportional to 10,019.84, 15,026.72 and 3,442.24

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Solution

The fourth proportional to 10,019.84, 15,026.72 and 3,442.24 is: 5,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.84 : 15,026.72 = 3,442.24 : x
  2. Step 2: Convert to fraction form
    10,019.84/15,026.72 = 3,442.24/x
  3. Step 3: Cross multiply
    10,019.84x = 15,026.72 × 3,442.24
  4. Step 4: Simplify right side
    10,019.84x = 51,725,576.65
  5. Step 5: Solve for x
    x = 51,725,576.65/10,019.84
  6. Step 6: Final answer
    x = 5,162.32

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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.