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Finding the Fourth Proportional to 14,423, 21,634.52 and 3,479

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Solution

The fourth proportional to 14,423, 21,634.52 and 3,479 is: 5,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423 : 21,634.52 = 3,479 : x
  2. Step 2: Convert to fraction form
    14,423/21,634.52 = 3,479/x
  3. Step 3: Cross multiply
    14,423x = 21,634.52 × 3,479
  4. Step 4: Simplify right side
    14,423x = 75,266,495.08
  5. Step 5: Solve for x
    x = 75,266,495.08/14,423
  6. Step 6: Final answer
    x = 5,218.50

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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.