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Finding the Fourth Proportional to 14,109.42, 19,471.08 and 8,141.34

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Solution

The fourth proportional to 14,109.42, 19,471.08 and 8,141.34 is: 11,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.42 : 19,471.08 = 8,141.34 : x
  2. Step 2: Convert to fraction form
    14,109.42/19,471.08 = 8,141.34/x
  3. Step 3: Cross multiply
    14,109.42x = 19,471.08 × 8,141.34
  4. Step 4: Simplify right side
    14,109.42x = 158,520,682.45
  5. Step 5: Solve for x
    x = 158,520,682.45/14,109.42
  6. Step 6: Final answer
    x = 11,235.10

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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.