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Finding the Fourth Proportional to 21,074.40, 29,084.58 and 11,646

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Solution

The fourth proportional to 21,074.40, 29,084.58 and 11,646 is: 16,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.40 : 29,084.58 = 11,646 : x
  2. Step 2: Convert to fraction form
    21,074.40/29,084.58 = 11,646/x
  3. Step 3: Cross multiply
    21,074.40x = 29,084.58 × 11,646
  4. Step 4: Simplify right side
    21,074.40x = 338,719,018.68
  5. Step 5: Solve for x
    x = 338,719,018.68/21,074.40
  6. Step 6: Final answer
    x = 16,072.53

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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.