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Finding the Fourth Proportional to 19,361.48, 29,046 and 6,212.84

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Solution

The fourth proportional to 19,361.48, 29,046 and 6,212.84 is: 9,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,361.48 : 29,046 = 6,212.84 : x
  2. Step 2: Convert to fraction form
    19,361.48/29,046 = 6,212.84/x
  3. Step 3: Cross multiply
    19,361.48x = 29,046 × 6,212.84
  4. Step 4: Simplify right side
    19,361.48x = 180,458,150.64
  5. Step 5: Solve for x
    x = 180,458,150.64/19,361.48
  6. Step 6: Final answer
    x = 9,320.47

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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.