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Finding the Fourth Proportional to 16,706.12, 23,001.99 and 14,183

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Solution

The fourth proportional to 16,706.12, 23,001.99 and 14,183 is: 19,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.12 : 23,001.99 = 14,183 : x
  2. Step 2: Convert to fraction form
    16,706.12/23,001.99 = 14,183/x
  3. Step 3: Cross multiply
    16,706.12x = 23,001.99 × 14,183
  4. Step 4: Simplify right side
    16,706.12x = 326,237,224.17
  5. Step 5: Solve for x
    x = 326,237,224.17/16,706.12
  6. Step 6: Final answer
    x = 19,528.01

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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.