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Finding the Fourth Proportional to 14,129.36, 19,502.10 and 9,654.92

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Solution

The fourth proportional to 14,129.36, 19,502.10 and 9,654.92 is: 13,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.36 : 19,502.10 = 9,654.92 : x
  2. Step 2: Convert to fraction form
    14,129.36/19,502.10 = 9,654.92/x
  3. Step 3: Cross multiply
    14,129.36x = 19,502.10 × 9,654.92
  4. Step 4: Simplify right side
    14,129.36x = 188,291,215.33
  5. Step 5: Solve for x
    x = 188,291,215.33/14,129.36
  6. Step 6: Final answer
    x = 13,326.24

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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.