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Finding the Fourth Proportional to 14,413, 21,619.50 and 3,469

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Solution

The fourth proportional to 14,413, 21,619.50 and 3,469 is: 5,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413 : 21,619.50 = 3,469 : x
  2. Step 2: Convert to fraction form
    14,413/21,619.50 = 3,469/x
  3. Step 3: Cross multiply
    14,413x = 21,619.50 × 3,469
  4. Step 4: Simplify right side
    14,413x = 74,998,045.50
  5. Step 5: Solve for x
    x = 74,998,045.50/14,413
  6. Step 6: Final answer
    x = 5,203.50

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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.