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Finding the Fourth Proportional to 19,378, 29,066.82 and 12,833.46

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Solution

The fourth proportional to 19,378, 29,066.82 and 12,833.46 is: 19,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378 : 29,066.82 = 12,833.46 : x
  2. Step 2: Convert to fraction form
    19,378/29,066.82 = 12,833.46/x
  3. Step 3: Cross multiply
    19,378x = 29,066.82 × 12,833.46
  4. Step 4: Simplify right side
    19,378x = 373,027,871.80
  5. Step 5: Solve for x
    x = 373,027,871.80/19,378
  6. Step 6: Final answer
    x = 19,250.07

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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.