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Finding the Fourth Proportional to 14,230.98, 19,633.32 and 8,261.64

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Solution

The fourth proportional to 14,230.98, 19,633.32 and 8,261.64 is: 11,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.98 : 19,633.32 = 8,261.64 : x
  2. Step 2: Convert to fraction form
    14,230.98/19,633.32 = 8,261.64/x
  3. Step 3: Cross multiply
    14,230.98x = 19,633.32 × 8,261.64
  4. Step 4: Simplify right side
    14,230.98x = 162,203,421.84
  5. Step 5: Solve for x
    x = 162,203,421.84/14,230.98
  6. Step 6: Final answer
    x = 11,397.91

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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.