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Finding the Fourth Proportional to 21,466, 29,613 and 15,181.84

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Solution

The fourth proportional to 21,466, 29,613 and 15,181.84 is: 20,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466 : 29,613 = 15,181.84 : x
  2. Step 2: Convert to fraction form
    21,466/29,613 = 15,181.84/x
  3. Step 3: Cross multiply
    21,466x = 29,613 × 15,181.84
  4. Step 4: Simplify right side
    21,466x = 449,579,827.92
  5. Step 5: Solve for x
    x = 449,579,827.92/21,466
  6. Step 6: Final answer
    x = 20,943.81

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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.