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Finding the Fourth Proportional to 17,417.16, 24,023.52 and 11,446.92

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Solution

The fourth proportional to 17,417.16, 24,023.52 and 11,446.92 is: 15,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.16 : 24,023.52 = 11,446.92 : x
  2. Step 2: Convert to fraction form
    17,417.16/24,023.52 = 11,446.92/x
  3. Step 3: Cross multiply
    17,417.16x = 24,023.52 × 11,446.92
  4. Step 4: Simplify right side
    17,417.16x = 274,995,311.56
  5. Step 5: Solve for x
    x = 274,995,311.56/17,417.16
  6. Step 6: Final answer
    x = 15,788.76

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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.