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Finding the Fourth Proportional to 14,416, 21,624 and 3,472

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Solution

The fourth proportional to 14,416, 21,624 and 3,472 is: 5,208

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 21,624 = 3,472 : x
  2. Step 2: Convert to fraction form
    14,416/21,624 = 3,472/x
  3. Step 3: Cross multiply
    14,416x = 21,624 × 3,472
  4. Step 4: Simplify right side
    14,416x = 75,078,528
  5. Step 5: Solve for x
    x = 75,078,528/14,416
  6. Step 6: Final answer
    x = 5,208

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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.