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Finding the Fourth Proportional to 13,564.96, 18,722.64 and 8,260

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Solution

The fourth proportional to 13,564.96, 18,722.64 and 8,260 is: 11,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.96 : 18,722.64 = 8,260 : x
  2. Step 2: Convert to fraction form
    13,564.96/18,722.64 = 8,260/x
  3. Step 3: Cross multiply
    13,564.96x = 18,722.64 × 8,260
  4. Step 4: Simplify right side
    13,564.96x = 154,649,006.40
  5. Step 5: Solve for x
    x = 154,649,006.40/13,564.96
  6. Step 6: Final answer
    x = 11,400.62

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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.