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Finding the Fourth Proportional to 25,143.96, 37,715.89 and 6,424.02

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Solution

The fourth proportional to 25,143.96, 37,715.89 and 6,424.02 is: 9,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.96 : 37,715.89 = 6,424.02 : x
  2. Step 2: Convert to fraction form
    25,143.96/37,715.89 = 6,424.02/x
  3. Step 3: Cross multiply
    25,143.96x = 37,715.89 × 6,424.02
  4. Step 4: Simplify right side
    25,143.96x = 242,287,631.68
  5. Step 5: Solve for x
    x = 242,287,631.68/25,143.96
  6. Step 6: Final answer
    x = 9,636.02

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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.