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Finding the Fourth Proportional to 12,644.49, 17,457.62 and 11,315.91

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Solution

The fourth proportional to 12,644.49, 17,457.62 and 11,315.91 is: 15,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.49 : 17,457.62 = 11,315.91 : x
  2. Step 2: Convert to fraction form
    12,644.49/17,457.62 = 11,315.91/x
  3. Step 3: Cross multiply
    12,644.49x = 17,457.62 × 11,315.91
  4. Step 4: Simplify right side
    12,644.49x = 197,548,800.15
  5. Step 5: Solve for x
    x = 197,548,800.15/12,644.49
  6. Step 6: Final answer
    x = 15,623.31

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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.