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Finding the Fourth Proportional to 17,735.92, 24,477.02 and 9,779

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Solution

The fourth proportional to 17,735.92, 24,477.02 and 9,779 is: 13,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.92 : 24,477.02 = 9,779 : x
  2. Step 2: Convert to fraction form
    17,735.92/24,477.02 = 9,779/x
  3. Step 3: Cross multiply
    17,735.92x = 24,477.02 × 9,779
  4. Step 4: Simplify right side
    17,735.92x = 239,360,778.58
  5. Step 5: Solve for x
    x = 239,360,778.58/17,735.92
  6. Step 6: Final answer
    x = 13,495.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.