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Finding the Fourth Proportional to 14,102.76, 19,463.85 and 8,133.24

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Solution

The fourth proportional to 14,102.76, 19,463.85 and 8,133.24 is: 11,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.76 : 19,463.85 = 8,133.24 : x
  2. Step 2: Convert to fraction form
    14,102.76/19,463.85 = 8,133.24/x
  3. Step 3: Cross multiply
    14,102.76x = 19,463.85 × 8,133.24
  4. Step 4: Simplify right side
    14,102.76x = 158,304,163.37
  5. Step 5: Solve for x
    x = 158,304,163.37/14,102.76
  6. Step 6: Final answer
    x = 11,225.05

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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.