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Finding the Fourth Proportional to 17,646.96, 24,345.84 and 11,362.98

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Solution

The fourth proportional to 17,646.96, 24,345.84 and 11,362.98 is: 15,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.96 : 24,345.84 = 11,362.98 : x
  2. Step 2: Convert to fraction form
    17,646.96/24,345.84 = 11,362.98/x
  3. Step 3: Cross multiply
    17,646.96x = 24,345.84 × 11,362.98
  4. Step 4: Simplify right side
    17,646.96x = 276,641,293.00
  5. Step 5: Solve for x
    x = 276,641,293.00/17,646.96
  6. Step 6: Final answer
    x = 15,676.43

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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.