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Finding the Fourth Proportional to 14,238.64, 19,646.32 and 8,267.23

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Solution

The fourth proportional to 14,238.64, 19,646.32 and 8,267.23 is: 11,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.64 : 19,646.32 = 8,267.23 : x
  2. Step 2: Convert to fraction form
    14,238.64/19,646.32 = 8,267.23/x
  3. Step 3: Cross multiply
    14,238.64x = 19,646.32 × 8,267.23
  4. Step 4: Simplify right side
    14,238.64x = 162,420,646.09
  5. Step 5: Solve for x
    x = 162,420,646.09/14,238.64
  6. Step 6: Final answer
    x = 11,407.03

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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.