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Finding the Fourth Proportional to 12,284.36, 18,393.72 and 9,588.88

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Solution

The fourth proportional to 12,284.36, 18,393.72 and 9,588.88 is: 14,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.36 : 18,393.72 = 9,588.88 : x
  2. Step 2: Convert to fraction form
    12,284.36/18,393.72 = 9,588.88/x
  3. Step 3: Cross multiply
    12,284.36x = 18,393.72 × 9,588.88
  4. Step 4: Simplify right side
    12,284.36x = 176,375,173.83
  5. Step 5: Solve for x
    x = 176,375,173.83/12,284.36
  6. Step 6: Final answer
    x = 14,357.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.