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Finding the Fourth Proportional to 17,504.64, 24,158.25 and 10,434.96

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Solution

The fourth proportional to 17,504.64, 24,158.25 and 10,434.96 is: 14,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504.64 : 24,158.25 = 10,434.96 : x
  2. Step 2: Convert to fraction form
    17,504.64/24,158.25 = 10,434.96/x
  3. Step 3: Cross multiply
    17,504.64x = 24,158.25 × 10,434.96
  4. Step 4: Simplify right side
    17,504.64x = 252,090,372.42
  5. Step 5: Solve for x
    x = 252,090,372.42/17,504.64
  6. Step 6: Final answer
    x = 14,401.35

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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.