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Finding the Fourth Proportional to 16,874, 23,285.88 and 9,804.40

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Solution

The fourth proportional to 16,874, 23,285.88 and 9,804.40 is: 13,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874 : 23,285.88 = 9,804.40 : x
  2. Step 2: Convert to fraction form
    16,874/23,285.88 = 9,804.40/x
  3. Step 3: Cross multiply
    16,874x = 23,285.88 × 9,804.40
  4. Step 4: Simplify right side
    16,874x = 228,304,081.87
  5. Step 5: Solve for x
    x = 228,304,081.87/16,874
  6. Step 6: Final answer
    x = 13,529.93

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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.