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Finding the Fourth Proportional to 16,735, 23,095.38 and 9,283

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Solution

The fourth proportional to 16,735, 23,095.38 and 9,283 is: 12,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735 : 23,095.38 = 9,283 : x
  2. Step 2: Convert to fraction form
    16,735/23,095.38 = 9,283/x
  3. Step 3: Cross multiply
    16,735x = 23,095.38 × 9,283
  4. Step 4: Simplify right side
    16,735x = 214,394,412.54
  5. Step 5: Solve for x
    x = 214,394,412.54/16,735
  6. Step 6: Final answer
    x = 12,811.14

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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.