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Finding the Fourth Proportional to 17,354.08, 26,016.72 and 9,964

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Solution

The fourth proportional to 17,354.08, 26,016.72 and 9,964 is: 14,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,354.08 : 26,016.72 = 9,964 : x
  2. Step 2: Convert to fraction form
    17,354.08/26,016.72 = 9,964/x
  3. Step 3: Cross multiply
    17,354.08x = 26,016.72 × 9,964
  4. Step 4: Simplify right side
    17,354.08x = 259,230,598.08
  5. Step 5: Solve for x
    x = 259,230,598.08/17,354.08
  6. Step 6: Final answer
    x = 14,937.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.