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Finding the Fourth Proportional to 25,142.70, 37,715.94 and 7,613.94

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Solution

The fourth proportional to 25,142.70, 37,715.94 and 7,613.94 is: 11,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.70 : 37,715.94 = 7,613.94 : x
  2. Step 2: Convert to fraction form
    25,142.70/37,715.94 = 7,613.94/x
  3. Step 3: Cross multiply
    25,142.70x = 37,715.94 × 7,613.94
  4. Step 4: Simplify right side
    25,142.70x = 287,166,904.20
  5. Step 5: Solve for x
    x = 287,166,904.20/25,142.70
  6. Step 6: Final answer
    x = 11,421.48

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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.