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Finding the Fourth Proportional to 14,508, 21,762 and 3,564

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Solution

The fourth proportional to 14,508, 21,762 and 3,564 is: 5,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508 : 21,762 = 3,564 : x
  2. Step 2: Convert to fraction form
    14,508/21,762 = 3,564/x
  3. Step 3: Cross multiply
    14,508x = 21,762 × 3,564
  4. Step 4: Simplify right side
    14,508x = 77,559,768
  5. Step 5: Solve for x
    x = 77,559,768/14,508
  6. Step 6: Final answer
    x = 5,346

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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.