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Finding the Fourth Proportional to 13,656.67, 18,846.41 and 7,688.32

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Solution

The fourth proportional to 13,656.67, 18,846.41 and 7,688.32 is: 10,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.67 : 18,846.41 = 7,688.32 : x
  2. Step 2: Convert to fraction form
    13,656.67/18,846.41 = 7,688.32/x
  3. Step 3: Cross multiply
    13,656.67x = 18,846.41 × 7,688.32
  4. Step 4: Simplify right side
    13,656.67x = 144,897,145.37
  5. Step 5: Solve for x
    x = 144,897,145.37/13,656.67
  6. Step 6: Final answer
    x = 10,609.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.