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Finding the Fourth Proportional to 12,920.34, 17,854.54 and 11,005.88

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Solution

The fourth proportional to 12,920.34, 17,854.54 and 11,005.88 is: 15,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.34 : 17,854.54 = 11,005.88 : x
  2. Step 2: Convert to fraction form
    12,920.34/17,854.54 = 11,005.88/x
  3. Step 3: Cross multiply
    12,920.34x = 17,854.54 × 11,005.88
  4. Step 4: Simplify right side
    12,920.34x = 196,504,924.70
  5. Step 5: Solve for x
    x = 196,504,924.70/12,920.34
  6. Step 6: Final answer
    x = 15,208.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.