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Finding the Fourth Proportional to 11,823.22, 16,314.24 and 7,041.70

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Solution

The fourth proportional to 11,823.22, 16,314.24 and 7,041.70 is: 9,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.22 : 16,314.24 = 7,041.70 : x
  2. Step 2: Convert to fraction form
    11,823.22/16,314.24 = 7,041.70/x
  3. Step 3: Cross multiply
    11,823.22x = 16,314.24 × 7,041.70
  4. Step 4: Simplify right side
    11,823.22x = 114,879,983.81
  5. Step 5: Solve for x
    x = 114,879,983.81/11,823.22
  6. Step 6: Final answer
    x = 9,716.47

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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.