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Finding the Fourth Proportional to 12,726.24, 17,546.05 and 9,096.63

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Solution

The fourth proportional to 12,726.24, 17,546.05 and 9,096.63 is: 12,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.24 : 17,546.05 = 9,096.63 : x
  2. Step 2: Convert to fraction form
    12,726.24/17,546.05 = 9,096.63/x
  3. Step 3: Cross multiply
    12,726.24x = 17,546.05 × 9,096.63
  4. Step 4: Simplify right side
    12,726.24x = 159,609,924.81
  5. Step 5: Solve for x
    x = 159,609,924.81/12,726.24
  6. Step 6: Final answer
    x = 12,541.80

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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.