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Finding the Fourth Proportional to 14,112.88, 19,469.50 and 9,076.16

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Solution

The fourth proportional to 14,112.88, 19,469.50 and 9,076.16 is: 12,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.88 : 19,469.50 = 9,076.16 : x
  2. Step 2: Convert to fraction form
    14,112.88/19,469.50 = 9,076.16/x
  3. Step 3: Cross multiply
    14,112.88x = 19,469.50 × 9,076.16
  4. Step 4: Simplify right side
    14,112.88x = 176,708,297.12
  5. Step 5: Solve for x
    x = 176,708,297.12/14,112.88
  6. Step 6: Final answer
    x = 12,521.07

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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.