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Finding the Fourth Proportional to 25,144.65, 37,716.35 and 6,424.74

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Solution

The fourth proportional to 25,144.65, 37,716.35 and 6,424.74 is: 9,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.65 : 37,716.35 = 6,424.74 : x
  2. Step 2: Convert to fraction form
    25,144.65/37,716.35 = 6,424.74/x
  3. Step 3: Cross multiply
    25,144.65x = 37,716.35 × 6,424.74
  4. Step 4: Simplify right side
    25,144.65x = 242,317,710.38
  5. Step 5: Solve for x
    x = 242,317,710.38/25,144.65
  6. Step 6: Final answer
    x = 9,636.95

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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.