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Finding the Fourth Proportional to 11,854.41, 17,781.62 and 10,483.89

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Solution

The fourth proportional to 11,854.41, 17,781.62 and 10,483.89 is: 15,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.41 : 17,781.62 = 10,483.89 : x
  2. Step 2: Convert to fraction form
    11,854.41/17,781.62 = 10,483.89/x
  3. Step 3: Cross multiply
    11,854.41x = 17,781.62 × 10,483.89
  4. Step 4: Simplify right side
    11,854.41x = 186,420,495.68
  5. Step 5: Solve for x
    x = 186,420,495.68/11,854.41
  6. Step 6: Final answer
    x = 15,725.84

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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.