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Finding the Fourth Proportional to 25,296.23, 37,946.19 and 9,713.86

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Solution

The fourth proportional to 25,296.23, 37,946.19 and 9,713.86 is: 14,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.23 : 37,946.19 = 9,713.86 : x
  2. Step 2: Convert to fraction form
    25,296.23/37,946.19 = 9,713.86/x
  3. Step 3: Cross multiply
    25,296.23x = 37,946.19 × 9,713.86
  4. Step 4: Simplify right side
    25,296.23x = 368,603,882.33
  5. Step 5: Solve for x
    x = 368,603,882.33/25,296.23
  6. Step 6: Final answer
    x = 14,571.49

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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.