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Finding the Fourth Proportional to 12,257.12, 16,894.27 and 9,384.86

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Solution

The fourth proportional to 12,257.12, 16,894.27 and 9,384.86 is: 12,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.12 : 16,894.27 = 9,384.86 : x
  2. Step 2: Convert to fraction form
    12,257.12/16,894.27 = 9,384.86/x
  3. Step 3: Cross multiply
    12,257.12x = 16,894.27 × 9,384.86
  4. Step 4: Simplify right side
    12,257.12x = 158,550,412.72
  5. Step 5: Solve for x
    x = 158,550,412.72/12,257.12
  6. Step 6: Final answer
    x = 12,935.37

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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.