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Finding the Fourth Proportional to 12,482.25, 17,226.59 and 6,894.33

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Solution

The fourth proportional to 12,482.25, 17,226.59 and 6,894.33 is: 9,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.25 : 17,226.59 = 6,894.33 : x
  2. Step 2: Convert to fraction form
    12,482.25/17,226.59 = 6,894.33/x
  3. Step 3: Cross multiply
    12,482.25x = 17,226.59 × 6,894.33
  4. Step 4: Simplify right side
    12,482.25x = 118,765,761.76
  5. Step 5: Solve for x
    x = 118,765,761.76/12,482.25
  6. Step 6: Final answer
    x = 9,514.77

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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.