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Finding the Fourth Proportional to 11,920.40, 17,881.47 and 3,155.25

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Solution

The fourth proportional to 11,920.40, 17,881.47 and 3,155.25 is: 4,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.40 : 17,881.47 = 3,155.25 : x
  2. Step 2: Convert to fraction form
    11,920.40/17,881.47 = 3,155.25/x
  3. Step 3: Cross multiply
    11,920.40x = 17,881.47 × 3,155.25
  4. Step 4: Simplify right side
    11,920.40x = 56,420,508.22
  5. Step 5: Solve for x
    x = 56,420,508.22/11,920.40
  6. Step 6: Final answer
    x = 4,733.11

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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.