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Finding the Fourth Proportional to 25,784.25, 38,676.42 and 7,064.46

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Solution

The fourth proportional to 25,784.25, 38,676.42 and 7,064.46 is: 10,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.25 : 38,676.42 = 7,064.46 : x
  2. Step 2: Convert to fraction form
    25,784.25/38,676.42 = 7,064.46/x
  3. Step 3: Cross multiply
    25,784.25x = 38,676.42 × 7,064.46
  4. Step 4: Simplify right side
    25,784.25x = 273,228,022.03
  5. Step 5: Solve for x
    x = 273,228,022.03/25,784.25
  6. Step 6: Final answer
    x = 10,596.70

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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.