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Finding the Fourth Proportional to 13,285.50, 18,332.39 and 7,619.96

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Solution

The fourth proportional to 13,285.50, 18,332.39 and 7,619.96 is: 10,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.50 : 18,332.39 = 7,619.96 : x
  2. Step 2: Convert to fraction form
    13,285.50/18,332.39 = 7,619.96/x
  3. Step 3: Cross multiply
    13,285.50x = 18,332.39 × 7,619.96
  4. Step 4: Simplify right side
    13,285.50x = 139,691,948.74
  5. Step 5: Solve for x
    x = 139,691,948.74/13,285.50
  6. Step 6: Final answer
    x = 10,514.62

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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.