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Finding the Fourth Proportional to 21,552, 32,276.70 and 10,996.08

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Solution

The fourth proportional to 21,552, 32,276.70 and 10,996.08 is: 16,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,552 : 32,276.70 = 10,996.08 : x
  2. Step 2: Convert to fraction form
    21,552/32,276.70 = 10,996.08/x
  3. Step 3: Cross multiply
    21,552x = 32,276.70 × 10,996.08
  4. Step 4: Simplify right side
    21,552x = 354,917,175.34
  5. Step 5: Solve for x
    x = 354,917,175.34/21,552
  6. Step 6: Final answer
    x = 16,467.95

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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.