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Finding the Fourth Proportional to 12,884.35, 17,776.36 and 7,218.33

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Solution

The fourth proportional to 12,884.35, 17,776.36 and 7,218.33 is: 9,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.35 : 17,776.36 = 7,218.33 : x
  2. Step 2: Convert to fraction form
    12,884.35/17,776.36 = 7,218.33/x
  3. Step 3: Cross multiply
    12,884.35x = 17,776.36 × 7,218.33
  4. Step 4: Simplify right side
    12,884.35x = 128,315,507.71
  5. Step 5: Solve for x
    x = 128,315,507.71/12,884.35
  6. Step 6: Final answer
    x = 9,959.02

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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.