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Finding the Fourth Proportional to 14,602.06, 21,906.34 and 4,213

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Solution

The fourth proportional to 14,602.06, 21,906.34 and 4,213 is: 6,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.06 : 21,906.34 = 4,213 : x
  2. Step 2: Convert to fraction form
    14,602.06/21,906.34 = 4,213/x
  3. Step 3: Cross multiply
    14,602.06x = 21,906.34 × 4,213
  4. Step 4: Simplify right side
    14,602.06x = 92,291,410.42
  5. Step 5: Solve for x
    x = 92,291,410.42/14,602.06
  6. Step 6: Final answer
    x = 6,320.44

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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.