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Finding the Fourth Proportional to 16,813.76, 23,202.08 and 9,258.61

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Solution

The fourth proportional to 16,813.76, 23,202.08 and 9,258.61 is: 12,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.76 : 23,202.08 = 9,258.61 : x
  2. Step 2: Convert to fraction form
    16,813.76/23,202.08 = 9,258.61/x
  3. Step 3: Cross multiply
    16,813.76x = 23,202.08 × 9,258.61
  4. Step 4: Simplify right side
    16,813.76x = 214,819,009.91
  5. Step 5: Solve for x
    x = 214,819,009.91/16,813.76
  6. Step 6: Final answer
    x = 12,776.39

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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.