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Finding the Fourth Proportional to 16,757.46, 23,125.47 and 9,684

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Solution

The fourth proportional to 16,757.46, 23,125.47 and 9,684 is: 13,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757.46 : 23,125.47 = 9,684 : x
  2. Step 2: Convert to fraction form
    16,757.46/23,125.47 = 9,684/x
  3. Step 3: Cross multiply
    16,757.46x = 23,125.47 × 9,684
  4. Step 4: Simplify right side
    16,757.46x = 223,947,051.48
  5. Step 5: Solve for x
    x = 223,947,051.48/16,757.46
  6. Step 6: Final answer
    x = 13,364.02

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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.