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Finding the Fourth Proportional to 24,627, 36,940.50 and 6,159

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Solution

The fourth proportional to 24,627, 36,940.50 and 6,159 is: 9,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627 : 36,940.50 = 6,159 : x
  2. Step 2: Convert to fraction form
    24,627/36,940.50 = 6,159/x
  3. Step 3: Cross multiply
    24,627x = 36,940.50 × 6,159
  4. Step 4: Simplify right side
    24,627x = 227,516,539.50
  5. Step 5: Solve for x
    x = 227,516,539.50/24,627
  6. Step 6: Final answer
    x = 9,238.50

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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.