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Finding the Fourth Proportional to 13,638.03, 18,820.36 and 7,669.57

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Solution

The fourth proportional to 13,638.03, 18,820.36 and 7,669.57 is: 10,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.03 : 18,820.36 = 7,669.57 : x
  2. Step 2: Convert to fraction form
    13,638.03/18,820.36 = 7,669.57/x
  3. Step 3: Cross multiply
    13,638.03x = 18,820.36 × 7,669.57
  4. Step 4: Simplify right side
    13,638.03x = 144,344,068.45
  5. Step 5: Solve for x
    x = 144,344,068.45/13,638.03
  6. Step 6: Final answer
    x = 10,583.94

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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.