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Finding the Fourth Proportional to 14,103.76, 19,465.23 and 8,134.24

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Solution

The fourth proportional to 14,103.76, 19,465.23 and 8,134.24 is: 11,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.76 : 19,465.23 = 8,134.24 : x
  2. Step 2: Convert to fraction form
    14,103.76/19,465.23 = 8,134.24/x
  3. Step 3: Cross multiply
    14,103.76x = 19,465.23 × 8,134.24
  4. Step 4: Simplify right side
    14,103.76x = 158,334,852.48
  5. Step 5: Solve for x
    x = 158,334,852.48/14,103.76
  6. Step 6: Final answer
    x = 11,226.43

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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.