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Finding the Fourth Proportional to 19,774.40, 29,661.60 and 8,084.88

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Solution

The fourth proportional to 19,774.40, 29,661.60 and 8,084.88 is: 12,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.40 : 29,661.60 = 8,084.88 : x
  2. Step 2: Convert to fraction form
    19,774.40/29,661.60 = 8,084.88/x
  3. Step 3: Cross multiply
    19,774.40x = 29,661.60 × 8,084.88
  4. Step 4: Simplify right side
    19,774.40x = 239,810,476.61
  5. Step 5: Solve for x
    x = 239,810,476.61/19,774.40
  6. Step 6: Final answer
    x = 12,127.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.