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Finding the Fourth Proportional to 17,738.52, 24,480.80 and 10,185.84

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Solution

The fourth proportional to 17,738.52, 24,480.80 and 10,185.84 is: 14,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.52 : 24,480.80 = 10,185.84 : x
  2. Step 2: Convert to fraction form
    17,738.52/24,480.80 = 10,185.84/x
  3. Step 3: Cross multiply
    17,738.52x = 24,480.80 × 10,185.84
  4. Step 4: Simplify right side
    17,738.52x = 249,357,511.87
  5. Step 5: Solve for x
    x = 249,357,511.87/17,738.52
  6. Step 6: Final answer
    x = 14,057.40

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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.