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Finding the Fourth Proportional to 25,332.64, 37,997.04 and 7,806.88

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Solution

The fourth proportional to 25,332.64, 37,997.04 and 7,806.88 is: 11,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332.64 : 37,997.04 = 7,806.88 : x
  2. Step 2: Convert to fraction form
    25,332.64/37,997.04 = 7,806.88/x
  3. Step 3: Cross multiply
    25,332.64x = 37,997.04 × 7,806.88
  4. Step 4: Simplify right side
    25,332.64x = 296,638,331.64
  5. Step 5: Solve for x
    x = 296,638,331.64/25,332.64
  6. Step 6: Final answer
    x = 11,709.73

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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.