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Finding the Fourth Proportional to 14,228.64, 19,635.52 and 8,261.44

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Solution

The fourth proportional to 14,228.64, 19,635.52 and 8,261.44 is: 11,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.64 : 19,635.52 = 8,261.44 : x
  2. Step 2: Convert to fraction form
    14,228.64/19,635.52 = 8,261.44/x
  3. Step 3: Cross multiply
    14,228.64x = 19,635.52 × 8,261.44
  4. Step 4: Simplify right side
    14,228.64x = 162,217,670.35
  5. Step 5: Solve for x
    x = 162,217,670.35/14,228.64
  6. Step 6: Final answer
    x = 11,400.79

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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.