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Finding the Fourth Proportional to 21,628, 32,442.04 and 5,212

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Solution

The fourth proportional to 21,628, 32,442.04 and 5,212 is: 7,818.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628 : 32,442.04 = 5,212 : x
  2. Step 2: Convert to fraction form
    21,628/32,442.04 = 5,212/x
  3. Step 3: Cross multiply
    21,628x = 32,442.04 × 5,212
  4. Step 4: Simplify right side
    21,628x = 169,087,912.48
  5. Step 5: Solve for x
    x = 169,087,912.48/21,628
  6. Step 6: Final answer
    x = 7,818.01

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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.