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Finding the Fourth Proportional to 23,117.94, 34,678.26 and 6,477.48

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Solution

The fourth proportional to 23,117.94, 34,678.26 and 6,477.48 is: 9,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.94 : 34,678.26 = 6,477.48 : x
  2. Step 2: Convert to fraction form
    23,117.94/34,678.26 = 6,477.48/x
  3. Step 3: Cross multiply
    23,117.94x = 34,678.26 × 6,477.48
  4. Step 4: Simplify right side
    23,117.94x = 224,627,735.58
  5. Step 5: Solve for x
    x = 224,627,735.58/23,117.94
  6. Step 6: Final answer
    x = 9,716.60

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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.