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Finding the Fourth Proportional to 23,929, 35,894.94 and 7,513

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Solution

The fourth proportional to 23,929, 35,894.94 and 7,513 is: 11,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,929 : 35,894.94 = 7,513 : x
  2. Step 2: Convert to fraction form
    23,929/35,894.94 = 7,513/x
  3. Step 3: Cross multiply
    23,929x = 35,894.94 × 7,513
  4. Step 4: Simplify right side
    23,929x = 269,678,684.22
  5. Step 5: Solve for x
    x = 269,678,684.22/23,929
  6. Step 6: Final answer
    x = 11,269.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.