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Finding the Fourth Proportional to 19,467, 29,219.94 and 14,218.20

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Solution

The fourth proportional to 19,467, 29,219.94 and 14,218.20 is: 21,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467 : 29,219.94 = 14,218.20 : x
  2. Step 2: Convert to fraction form
    19,467/29,219.94 = 14,218.20/x
  3. Step 3: Cross multiply
    19,467x = 29,219.94 × 14,218.20
  4. Step 4: Simplify right side
    19,467x = 415,454,950.91
  5. Step 5: Solve for x
    x = 415,454,950.91/19,467
  6. Step 6: Final answer
    x = 21,341.50

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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.