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Finding the Fourth Proportional to 27,705.36, 41,571 and 16,028.40

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Solution

The fourth proportional to 27,705.36, 41,571 and 16,028.40 is: 24,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.36 : 41,571 = 16,028.40 : x
  2. Step 2: Convert to fraction form
    27,705.36/41,571 = 16,028.40/x
  3. Step 3: Cross multiply
    27,705.36x = 41,571 × 16,028.40
  4. Step 4: Simplify right side
    27,705.36x = 666,316,616.40
  5. Step 5: Solve for x
    x = 666,316,616.40/27,705.36
  6. Step 6: Final answer
    x = 24,050.10

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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.