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Finding the Fourth Proportional to 23,135.77, 34,703.75 and 6,495.94

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Solution

The fourth proportional to 23,135.77, 34,703.75 and 6,495.94 is: 9,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.77 : 34,703.75 = 6,495.94 : x
  2. Step 2: Convert to fraction form
    23,135.77/34,703.75 = 6,495.94/x
  3. Step 3: Cross multiply
    23,135.77x = 34,703.75 × 6,495.94
  4. Step 4: Simplify right side
    23,135.77x = 225,433,477.78
  5. Step 5: Solve for x
    x = 225,433,477.78/23,135.77
  6. Step 6: Final answer
    x = 9,743.94

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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.