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Finding the Fourth Proportional to 65,384, 98,076 and 16,136

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Solution

The fourth proportional to 65,384, 98,076 and 16,136 is: 24,204

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384 : 98,076 = 16,136 : x
  2. Step 2: Convert to fraction form
    65,384/98,076 = 16,136/x
  3. Step 3: Cross multiply
    65,384x = 98,076 × 16,136
  4. Step 4: Simplify right side
    65,384x = 1,582,554,336
  5. Step 5: Solve for x
    x = 1,582,554,336/65,384
  6. Step 6: Final answer
    x = 24,204

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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.