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Finding the Fourth Proportional to 20,971.78, 31,453.35 and 9,277.54

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Solution

The fourth proportional to 20,971.78, 31,453.35 and 9,277.54 is: 13,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.78 : 31,453.35 = 9,277.54 : x
  2. Step 2: Convert to fraction form
    20,971.78/31,453.35 = 9,277.54/x
  3. Step 3: Cross multiply
    20,971.78x = 31,453.35 × 9,277.54
  4. Step 4: Simplify right side
    20,971.78x = 291,809,712.76
  5. Step 5: Solve for x
    x = 291,809,712.76/20,971.78
  6. Step 6: Final answer
    x = 13,914.40

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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.