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Finding the Fourth Proportional to 13,333.83, 18,400.74 and 7,284.15

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Solution

The fourth proportional to 13,333.83, 18,400.74 and 7,284.15 is: 10,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.83 : 18,400.74 = 7,284.15 : x
  2. Step 2: Convert to fraction form
    13,333.83/18,400.74 = 7,284.15/x
  3. Step 3: Cross multiply
    13,333.83x = 18,400.74 × 7,284.15
  4. Step 4: Simplify right side
    13,333.83x = 134,033,763.93
  5. Step 5: Solve for x
    x = 134,033,763.93/13,333.83
  6. Step 6: Final answer
    x = 10,052.16

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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.