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Finding the Fourth Proportional to 13,564.89, 18,707.05 and 9,308.44

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Solution

The fourth proportional to 13,564.89, 18,707.05 and 9,308.44 is: 12,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.89 : 18,707.05 = 9,308.44 : x
  2. Step 2: Convert to fraction form
    13,564.89/18,707.05 = 9,308.44/x
  3. Step 3: Cross multiply
    13,564.89x = 18,707.05 × 9,308.44
  4. Step 4: Simplify right side
    13,564.89x = 174,133,452.50
  5. Step 5: Solve for x
    x = 174,133,452.50/13,564.89
  6. Step 6: Final answer
    x = 12,837.07

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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.