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Finding the Fourth Proportional to 11,844.47, 17,765.29 and 9,214.60

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Solution

The fourth proportional to 11,844.47, 17,765.29 and 9,214.60 is: 13,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.47 : 17,765.29 = 9,214.60 : x
  2. Step 2: Convert to fraction form
    11,844.47/17,765.29 = 9,214.60/x
  3. Step 3: Cross multiply
    11,844.47x = 17,765.29 × 9,214.60
  4. Step 4: Simplify right side
    11,844.47x = 163,700,041.23
  5. Step 5: Solve for x
    x = 163,700,041.23/11,844.47
  6. Step 6: Final answer
    x = 13,820.80

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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.