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Finding the Fourth Proportional to 21,638, 32,457 and 7,046

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Solution

The fourth proportional to 21,638, 32,457 and 7,046 is: 10,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638 : 32,457 = 7,046 : x
  2. Step 2: Convert to fraction form
    21,638/32,457 = 7,046/x
  3. Step 3: Cross multiply
    21,638x = 32,457 × 7,046
  4. Step 4: Simplify right side
    21,638x = 228,692,022
  5. Step 5: Solve for x
    x = 228,692,022/21,638
  6. Step 6: Final answer
    x = 10,569

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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.