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Finding the Fourth Proportional to 14,564, 21,846 and 3,620

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Solution

The fourth proportional to 14,564, 21,846 and 3,620 is: 5,430

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564 : 21,846 = 3,620 : x
  2. Step 2: Convert to fraction form
    14,564/21,846 = 3,620/x
  3. Step 3: Cross multiply
    14,564x = 21,846 × 3,620
  4. Step 4: Simplify right side
    14,564x = 79,082,520
  5. Step 5: Solve for x
    x = 79,082,520/14,564
  6. Step 6: Final answer
    x = 5,430

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.