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Finding the Fourth Proportional to 21,748.95, 30,013.22 and 12,188.83

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Solution

The fourth proportional to 21,748.95, 30,013.22 and 12,188.83 is: 16,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.95 : 30,013.22 = 12,188.83 : x
  2. Step 2: Convert to fraction form
    21,748.95/30,013.22 = 12,188.83/x
  3. Step 3: Cross multiply
    21,748.95x = 30,013.22 × 12,188.83
  4. Step 4: Simplify right side
    21,748.95x = 365,825,825.32
  5. Step 5: Solve for x
    x = 365,825,825.32/21,748.95
  6. Step 6: Final answer
    x = 16,820.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.