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Finding the Fourth Proportional to 13,656.96, 18,846.65 and 7,688.72

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Solution

The fourth proportional to 13,656.96, 18,846.65 and 7,688.72 is: 10,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.96 : 18,846.65 = 7,688.72 : x
  2. Step 2: Convert to fraction form
    13,656.96/18,846.65 = 7,688.72/x
  3. Step 3: Cross multiply
    13,656.96x = 18,846.65 × 7,688.72
  4. Step 4: Simplify right side
    13,656.96x = 144,906,576.34
  5. Step 5: Solve for x
    x = 144,906,576.34/13,656.96
  6. Step 6: Final answer
    x = 10,610.46

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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.