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Finding the Fourth Proportional to 17,198.24, 23,734.55 and 9,646.99

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Solution

The fourth proportional to 17,198.24, 23,734.55 and 9,646.99 is: 13,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.24 : 23,734.55 = 9,646.99 : x
  2. Step 2: Convert to fraction form
    17,198.24/23,734.55 = 9,646.99/x
  3. Step 3: Cross multiply
    17,198.24x = 23,734.55 × 9,646.99
  4. Step 4: Simplify right side
    17,198.24x = 228,966,931.29
  5. Step 5: Solve for x
    x = 228,966,931.29/17,198.24
  6. Step 6: Final answer
    x = 13,313.40

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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.