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Finding the Fourth Proportional to 21,196.36, 29,241.84 and 12,808

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Solution

The fourth proportional to 21,196.36, 29,241.84 and 12,808 is: 17,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.36 : 29,241.84 = 12,808 : x
  2. Step 2: Convert to fraction form
    21,196.36/29,241.84 = 12,808/x
  3. Step 3: Cross multiply
    21,196.36x = 29,241.84 × 12,808
  4. Step 4: Simplify right side
    21,196.36x = 374,529,486.72
  5. Step 5: Solve for x
    x = 374,529,486.72/21,196.36
  6. Step 6: Final answer
    x = 17,669.52

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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.