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Finding the Fourth Proportional to 65,516, 98,274.64 and 16,268

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Solution

The fourth proportional to 65,516, 98,274.64 and 16,268 is: 24,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,516 : 98,274.64 = 16,268 : x
  2. Step 2: Convert to fraction form
    65,516/98,274.64 = 16,268/x
  3. Step 3: Cross multiply
    65,516x = 98,274.64 × 16,268
  4. Step 4: Simplify right side
    65,516x = 1,598,731,843.52
  5. Step 5: Solve for x
    x = 1,598,731,843.52/65,516
  6. Step 6: Final answer
    x = 24,402.16

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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.