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Finding the Fourth Proportional to 13,656.62, 18,846.50 and 7,688.51

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Solution

The fourth proportional to 13,656.62, 18,846.50 and 7,688.51 is: 10,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.62 : 18,846.50 = 7,688.51 : x
  2. Step 2: Convert to fraction form
    13,656.62/18,846.50 = 7,688.51/x
  3. Step 3: Cross multiply
    13,656.62x = 18,846.50 × 7,688.51
  4. Step 4: Simplify right side
    13,656.62x = 144,901,465.27
  5. Step 5: Solve for x
    x = 144,901,465.27/13,656.62
  6. Step 6: Final answer
    x = 10,610.35

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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.