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Finding the Fourth Proportional to 13,656.50, 18,846.33 and 7,688.39

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Solution

The fourth proportional to 13,656.50, 18,846.33 and 7,688.39 is: 10,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.50 : 18,846.33 = 7,688.39 : x
  2. Step 2: Convert to fraction form
    13,656.50/18,846.33 = 7,688.39/x
  3. Step 3: Cross multiply
    13,656.50x = 18,846.33 × 7,688.39
  4. Step 4: Simplify right side
    13,656.50x = 144,897,935.11
  5. Step 5: Solve for x
    x = 144,897,935.11/13,656.50
  6. Step 6: Final answer
    x = 10,610.18

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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.