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Finding the Fourth Proportional to 12,173, 16,798.74 and 7,205

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Solution

The fourth proportional to 12,173, 16,798.74 and 7,205 is: 9,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173 : 16,798.74 = 7,205 : x
  2. Step 2: Convert to fraction form
    12,173/16,798.74 = 7,205/x
  3. Step 3: Cross multiply
    12,173x = 16,798.74 × 7,205
  4. Step 4: Simplify right side
    12,173x = 121,034,921.70
  5. Step 5: Solve for x
    x = 121,034,921.70/12,173
  6. Step 6: Final answer
    x = 9,942.90

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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.