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Finding the Fourth Proportional to 25,374.00, 38,064.64 and 7,845.19

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Solution

The fourth proportional to 25,374.00, 38,064.64 and 7,845.19 is: 11,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,374.00 : 38,064.64 = 7,845.19 : x
  2. Step 2: Convert to fraction form
    25,374.00/38,064.64 = 7,845.19/x
  3. Step 3: Cross multiply
    25,374.00x = 38,064.64 × 7,845.19
  4. Step 4: Simplify right side
    25,374.00x = 298,624,333.08
  5. Step 5: Solve for x
    x = 298,624,333.08/25,374.00
  6. Step 6: Final answer
    x = 11,768.91

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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.