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Finding the Fourth Proportional to 16,412.92, 22,609.14 and 13,054.72

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Solution

The fourth proportional to 16,412.92, 22,609.14 and 13,054.72 is: 17,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.92 : 22,609.14 = 13,054.72 : x
  2. Step 2: Convert to fraction form
    16,412.92/22,609.14 = 13,054.72/x
  3. Step 3: Cross multiply
    16,412.92x = 22,609.14 × 13,054.72
  4. Step 4: Simplify right side
    16,412.92x = 295,155,992.14
  5. Step 5: Solve for x
    x = 295,155,992.14/16,412.92
  6. Step 6: Final answer
    x = 17,983.15

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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.