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Finding the Fourth Proportional to 17,535.96, 24,195.66 and 10,461

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Solution

The fourth proportional to 17,535.96, 24,195.66 and 10,461 is: 14,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.96 : 24,195.66 = 10,461 : x
  2. Step 2: Convert to fraction form
    17,535.96/24,195.66 = 10,461/x
  3. Step 3: Cross multiply
    17,535.96x = 24,195.66 × 10,461
  4. Step 4: Simplify right side
    17,535.96x = 253,110,799.26
  5. Step 5: Solve for x
    x = 253,110,799.26/17,535.96
  6. Step 6: Final answer
    x = 14,433.81

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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.