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Finding the Fourth Proportional to 22,185.64, 30,616 and 12,114.06

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Solution

The fourth proportional to 22,185.64, 30,616 and 12,114.06 is: 16,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185.64 : 30,616 = 12,114.06 : x
  2. Step 2: Convert to fraction form
    22,185.64/30,616 = 12,114.06/x
  3. Step 3: Cross multiply
    22,185.64x = 30,616 × 12,114.06
  4. Step 4: Simplify right side
    22,185.64x = 370,884,060.96
  5. Step 5: Solve for x
    x = 370,884,060.96/22,185.64
  6. Step 6: Final answer
    x = 16,717.30

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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.