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Finding the Fourth Proportional to 13,172.50, 18,178.59 and 7,583.50

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Solution

The fourth proportional to 13,172.50, 18,178.59 and 7,583.50 is: 10,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.50 : 18,178.59 = 7,583.50 : x
  2. Step 2: Convert to fraction form
    13,172.50/18,178.59 = 7,583.50/x
  3. Step 3: Cross multiply
    13,172.50x = 18,178.59 × 7,583.50
  4. Step 4: Simplify right side
    13,172.50x = 137,857,337.27
  5. Step 5: Solve for x
    x = 137,857,337.27/13,172.50
  6. Step 6: Final answer
    x = 10,465.54

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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.