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Finding the Fourth Proportional to 16,705.69, 23,053.84 and 9,152.57

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Solution

The fourth proportional to 16,705.69, 23,053.84 and 9,152.57 is: 12,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.69 : 23,053.84 = 9,152.57 : x
  2. Step 2: Convert to fraction form
    16,705.69/23,053.84 = 9,152.57/x
  3. Step 3: Cross multiply
    16,705.69x = 23,053.84 × 9,152.57
  4. Step 4: Simplify right side
    16,705.69x = 211,001,884.37
  5. Step 5: Solve for x
    x = 211,001,884.37/16,705.69
  6. Step 6: Final answer
    x = 12,630.54

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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.