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Finding the Fourth Proportional to 23,986.94, 35,980.40 and 6,458.54

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Solution

The fourth proportional to 23,986.94, 35,980.40 and 6,458.54 is: 9,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986.94 : 35,980.40 = 6,458.54 : x
  2. Step 2: Convert to fraction form
    23,986.94/35,980.40 = 6,458.54/x
  3. Step 3: Cross multiply
    23,986.94x = 35,980.40 × 6,458.54
  4. Step 4: Simplify right side
    23,986.94x = 232,380,688.86
  5. Step 5: Solve for x
    x = 232,380,688.86/23,986.94
  6. Step 6: Final answer
    x = 9,687.80

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Why These Related Problems?

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