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Finding the Fourth Proportional to 13,204.77, 18,222.62 and 7,461.87

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Solution

The fourth proportional to 13,204.77, 18,222.62 and 7,461.87 is: 10,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.77 : 18,222.62 = 7,461.87 : x
  2. Step 2: Convert to fraction form
    13,204.77/18,222.62 = 7,461.87/x
  3. Step 3: Cross multiply
    13,204.77x = 18,222.62 × 7,461.87
  4. Step 4: Simplify right side
    13,204.77x = 135,974,784.19
  5. Step 5: Solve for x
    x = 135,974,784.19/13,204.77
  6. Step 6: Final answer
    x = 10,297.40

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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.