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Finding the Fourth Proportional to 12,253.06, 16,918.74 and 9,415.96

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Solution

The fourth proportional to 12,253.06, 16,918.74 and 9,415.96 is: 13,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.06 : 16,918.74 = 9,415.96 : x
  2. Step 2: Convert to fraction form
    12,253.06/16,918.74 = 9,415.96/x
  3. Step 3: Cross multiply
    12,253.06x = 16,918.74 × 9,415.96
  4. Step 4: Simplify right side
    12,253.06x = 159,306,179.09
  5. Step 5: Solve for x
    x = 159,306,179.09/12,253.06
  6. Step 6: Final answer
    x = 13,001.34

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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.