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Finding the Fourth Proportional to 17,735.68, 24,476.48 and 10,184.19

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Solution

The fourth proportional to 17,735.68, 24,476.48 and 10,184.19 is: 14,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.68 : 24,476.48 = 10,184.19 : x
  2. Step 2: Convert to fraction form
    17,735.68/24,476.48 = 10,184.19/x
  3. Step 3: Cross multiply
    17,735.68x = 24,476.48 × 10,184.19
  4. Step 4: Simplify right side
    17,735.68x = 249,273,122.85
  5. Step 5: Solve for x
    x = 249,273,122.85/17,735.68
  6. Step 6: Final answer
    x = 14,054.90

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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.