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Finding the Fourth Proportional to 17,771.84, 24,528.99 and 12,120.06

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Solution

The fourth proportional to 17,771.84, 24,528.99 and 12,120.06 is: 16,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.84 : 24,528.99 = 12,120.06 : x
  2. Step 2: Convert to fraction form
    17,771.84/24,528.99 = 12,120.06/x
  3. Step 3: Cross multiply
    17,771.84x = 24,528.99 × 12,120.06
  4. Step 4: Simplify right side
    17,771.84x = 297,292,967.97
  5. Step 5: Solve for x
    x = 297,292,967.97/17,771.84
  6. Step 6: Final answer
    x = 16,728.32

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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.