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Finding the Fourth Proportional to 12,853.60, 19,270.62 and 8,894.33

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Solution

The fourth proportional to 12,853.60, 19,270.62 and 8,894.33 is: 13,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.60 : 19,270.62 = 8,894.33 : x
  2. Step 2: Convert to fraction form
    12,853.60/19,270.62 = 8,894.33/x
  3. Step 3: Cross multiply
    12,853.60x = 19,270.62 × 8,894.33
  4. Step 4: Simplify right side
    12,853.60x = 171,399,301.76
  5. Step 5: Solve for x
    x = 171,399,301.76/12,853.60
  6. Step 6: Final answer
    x = 13,334.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.