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Finding the Fourth Proportional to 37,829.92, 56,748.64 and 14,476

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Solution

The fourth proportional to 37,829.92, 56,748.64 and 14,476 is: 21,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,829.92 : 56,748.64 = 14,476 : x
  2. Step 2: Convert to fraction form
    37,829.92/56,748.64 = 14,476/x
  3. Step 3: Cross multiply
    37,829.92x = 56,748.64 × 14,476
  4. Step 4: Simplify right side
    37,829.92x = 821,493,312.64
  5. Step 5: Solve for x
    x = 821,493,312.64/37,829.92
  6. Step 6: Final answer
    x = 21,715.44

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