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Finding the Fourth Proportional to 21,632, 32,448 and 5,216

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Solution

The fourth proportional to 21,632, 32,448 and 5,216 is: 7,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632 : 32,448 = 5,216 : x
  2. Step 2: Convert to fraction form
    21,632/32,448 = 5,216/x
  3. Step 3: Cross multiply
    21,632x = 32,448 × 5,216
  4. Step 4: Simplify right side
    21,632x = 169,248,768
  5. Step 5: Solve for x
    x = 169,248,768/21,632
  6. Step 6: Final answer
    x = 7,824

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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.