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Finding the Fourth Proportional to 15,417, 23,128.74 and 6,183

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Solution

The fourth proportional to 15,417, 23,128.74 and 6,183 is: 9,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417 : 23,128.74 = 6,183 : x
  2. Step 2: Convert to fraction form
    15,417/23,128.74 = 6,183/x
  3. Step 3: Cross multiply
    15,417x = 23,128.74 × 6,183
  4. Step 4: Simplify right side
    15,417x = 143,004,999.42
  5. Step 5: Solve for x
    x = 143,004,999.42/15,417
  6. Step 6: Final answer
    x = 9,275.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.