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Finding the Fourth Proportional to 21,970.82, 30,320.16 and 12,408.96

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Solution

The fourth proportional to 21,970.82, 30,320.16 and 12,408.96 is: 17,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.82 : 30,320.16 = 12,408.96 : x
  2. Step 2: Convert to fraction form
    21,970.82/30,320.16 = 12,408.96/x
  3. Step 3: Cross multiply
    21,970.82x = 30,320.16 × 12,408.96
  4. Step 4: Simplify right side
    21,970.82x = 376,241,652.63
  5. Step 5: Solve for x
    x = 376,241,652.63/21,970.82
  6. Step 6: Final answer
    x = 17,124.61

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