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Finding the Fourth Proportional to 12,419.20, 18,629.60 and 6,587.20

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Solution

The fourth proportional to 12,419.20, 18,629.60 and 6,587.20 is: 9,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.20 : 18,629.60 = 6,587.20 : x
  2. Step 2: Convert to fraction form
    12,419.20/18,629.60 = 6,587.20/x
  3. Step 3: Cross multiply
    12,419.20x = 18,629.60 × 6,587.20
  4. Step 4: Simplify right side
    12,419.20x = 122,716,901.12
  5. Step 5: Solve for x
    x = 122,716,901.12/12,419.20
  6. Step 6: Final answer
    x = 9,881.22

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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.