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Finding the Fourth Proportional to 18,362, 27,543.54 and 4,511

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Solution

The fourth proportional to 18,362, 27,543.54 and 4,511 is: 6,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362 : 27,543.54 = 4,511 : x
  2. Step 2: Convert to fraction form
    18,362/27,543.54 = 4,511/x
  3. Step 3: Cross multiply
    18,362x = 27,543.54 × 4,511
  4. Step 4: Simplify right side
    18,362x = 124,248,908.94
  5. Step 5: Solve for x
    x = 124,248,908.94/18,362
  6. Step 6: Final answer
    x = 6,766.63

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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.