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Finding the Fourth Proportional to 14,105.74, 19,457.07 and 9,076.49

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Solution

The fourth proportional to 14,105.74, 19,457.07 and 9,076.49 is: 12,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.74 : 19,457.07 = 9,076.49 : x
  2. Step 2: Convert to fraction form
    14,105.74/19,457.07 = 9,076.49/x
  3. Step 3: Cross multiply
    14,105.74x = 19,457.07 × 9,076.49
  4. Step 4: Simplify right side
    14,105.74x = 176,601,915.89
  5. Step 5: Solve for x
    x = 176,601,915.89/14,105.74
  6. Step 6: Final answer
    x = 12,519.86

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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.