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Finding the Fourth Proportional to 16,705.25, 23,053.23 and 9,152.06

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Solution

The fourth proportional to 16,705.25, 23,053.23 and 9,152.06 is: 12,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.25 : 23,053.23 = 9,152.06 : x
  2. Step 2: Convert to fraction form
    16,705.25/23,053.23 = 9,152.06/x
  3. Step 3: Cross multiply
    16,705.25x = 23,053.23 × 9,152.06
  4. Step 4: Simplify right side
    16,705.25x = 210,984,428.89
  5. Step 5: Solve for x
    x = 210,984,428.89/16,705.25
  6. Step 6: Final answer
    x = 12,629.83

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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.