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Finding the Fourth Proportional to 65,923.49, 98,884.41 and 16,004

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Solution

The fourth proportional to 65,923.49, 98,884.41 and 16,004 is: 24,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,923.49 : 98,884.41 = 16,004 : x
  2. Step 2: Convert to fraction form
    65,923.49/98,884.41 = 16,004/x
  3. Step 3: Cross multiply
    65,923.49x = 98,884.41 × 16,004
  4. Step 4: Simplify right side
    65,923.49x = 1,582,546,097.64
  5. Step 5: Solve for x
    x = 1,582,546,097.64/65,923.49
  6. Step 6: Final answer
    x = 24,005.80

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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.