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Finding the Fourth Proportional to 13,081.83, 18,053.06 and 7,416.60

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Solution

The fourth proportional to 13,081.83, 18,053.06 and 7,416.60 is: 10,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.83 : 18,053.06 = 7,416.60 : x
  2. Step 2: Convert to fraction form
    13,081.83/18,053.06 = 7,416.60/x
  3. Step 3: Cross multiply
    13,081.83x = 18,053.06 × 7,416.60
  4. Step 4: Simplify right side
    13,081.83x = 133,892,287.71
  5. Step 5: Solve for x
    x = 133,892,287.71/13,081.83
  6. Step 6: Final answer
    x = 10,234.98

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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.