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Finding the Fourth Proportional to 65,838, 98,757 and 16,590

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Solution

The fourth proportional to 65,838, 98,757 and 16,590 is: 24,885

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838 : 98,757 = 16,590 : x
  2. Step 2: Convert to fraction form
    65,838/98,757 = 16,590/x
  3. Step 3: Cross multiply
    65,838x = 98,757 × 16,590
  4. Step 4: Simplify right side
    65,838x = 1,638,378,630
  5. Step 5: Solve for x
    x = 1,638,378,630/65,838
  6. Step 6: Final answer
    x = 24,885

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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.