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Finding the Fourth Proportional to 13,655.88, 20,483.82 and 7,808.39

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Solution

The fourth proportional to 13,655.88, 20,483.82 and 7,808.39 is: 11,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.88 : 20,483.82 = 7,808.39 : x
  2. Step 2: Convert to fraction form
    13,655.88/20,483.82 = 7,808.39/x
  3. Step 3: Cross multiply
    13,655.88x = 20,483.82 × 7,808.39
  4. Step 4: Simplify right side
    13,655.88x = 159,945,513.79
  5. Step 5: Solve for x
    x = 159,945,513.79/13,655.88
  6. Step 6: Final answer
    x = 11,712.58

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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.