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Finding the Fourth Proportional to 17,333.17, 23,919.21 and 9,779.38

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Solution

The fourth proportional to 17,333.17, 23,919.21 and 9,779.38 is: 13,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,333.17 : 23,919.21 = 9,779.38 : x
  2. Step 2: Convert to fraction form
    17,333.17/23,919.21 = 9,779.38/x
  3. Step 3: Cross multiply
    17,333.17x = 23,919.21 × 9,779.38
  4. Step 4: Simplify right side
    17,333.17x = 233,915,043.89
  5. Step 5: Solve for x
    x = 233,915,043.89/17,333.17
  6. Step 6: Final answer
    x = 13,495.23

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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.