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Finding the Fourth Proportional to 17,535.42, 24,201.18 and 10,465.74

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Solution

The fourth proportional to 17,535.42, 24,201.18 and 10,465.74 is: 14,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.42 : 24,201.18 = 10,465.74 : x
  2. Step 2: Convert to fraction form
    17,535.42/24,201.18 = 10,465.74/x
  3. Step 3: Cross multiply
    17,535.42x = 24,201.18 × 10,465.74
  4. Step 4: Simplify right side
    17,535.42x = 253,283,257.57
  5. Step 5: Solve for x
    x = 253,283,257.57/17,535.42
  6. Step 6: Final answer
    x = 14,444.09

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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.