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Finding the Fourth Proportional to 17,461.33, 24,095.99 and 9,503.38

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Solution

The fourth proportional to 17,461.33, 24,095.99 and 9,503.38 is: 13,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.33 : 24,095.99 = 9,503.38 : x
  2. Step 2: Convert to fraction form
    17,461.33/24,095.99 = 9,503.38/x
  3. Step 3: Cross multiply
    17,461.33x = 24,095.99 × 9,503.38
  4. Step 4: Simplify right side
    17,461.33x = 228,993,181.45
  5. Step 5: Solve for x
    x = 228,993,181.45/17,461.33
  6. Step 6: Final answer
    x = 13,114.31

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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.