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Finding the Fourth Proportional to 16,853.12, 23,258.88 and 9,684

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Solution

The fourth proportional to 16,853.12, 23,258.88 and 9,684 is: 13,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.12 : 23,258.88 = 9,684 : x
  2. Step 2: Convert to fraction form
    16,853.12/23,258.88 = 9,684/x
  3. Step 3: Cross multiply
    16,853.12x = 23,258.88 × 9,684
  4. Step 4: Simplify right side
    16,853.12x = 225,238,993.92
  5. Step 5: Solve for x
    x = 225,238,993.92/16,853.12
  6. Step 6: Final answer
    x = 13,364.82

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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.