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Finding the Fourth Proportional to 25,317.65, 37,972.97 and 6,596.16

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Solution

The fourth proportional to 25,317.65, 37,972.97 and 6,596.16 is: 9,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,317.65 : 37,972.97 = 6,596.16 : x
  2. Step 2: Convert to fraction form
    25,317.65/37,972.97 = 6,596.16/x
  3. Step 3: Cross multiply
    25,317.65x = 37,972.97 × 6,596.16
  4. Step 4: Simplify right side
    25,317.65x = 250,475,885.85
  5. Step 5: Solve for x
    x = 250,475,885.85/25,317.65
  6. Step 6: Final answer
    x = 9,893.33

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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.