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Finding the Fourth Proportional to 21,412.95, 29,546.60 and 12,214.58

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Solution

The fourth proportional to 21,412.95, 29,546.60 and 12,214.58 is: 16,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.95 : 29,546.60 = 12,214.58 : x
  2. Step 2: Convert to fraction form
    21,412.95/29,546.60 = 12,214.58/x
  3. Step 3: Cross multiply
    21,412.95x = 29,546.60 × 12,214.58
  4. Step 4: Simplify right side
    21,412.95x = 360,899,309.43
  5. Step 5: Solve for x
    x = 360,899,309.43/21,412.95
  6. Step 6: Final answer
    x = 16,854.25

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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.