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Finding the Fourth Proportional to 21,489.40, 29,654.22 and 12,061

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Solution

The fourth proportional to 21,489.40, 29,654.22 and 12,061 is: 16,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489.40 : 29,654.22 = 12,061 : x
  2. Step 2: Convert to fraction form
    21,489.40/29,654.22 = 12,061/x
  3. Step 3: Cross multiply
    21,489.40x = 29,654.22 × 12,061
  4. Step 4: Simplify right side
    21,489.40x = 357,659,547.42
  5. Step 5: Solve for x
    x = 357,659,547.42/21,489.40
  6. Step 6: Final answer
    x = 16,643.53

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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.