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Finding the Fourth Proportional to 17,750.94, 24,497.56 and 10,198.50

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Solution

The fourth proportional to 17,750.94, 24,497.56 and 10,198.50 is: 14,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.94 : 24,497.56 = 10,198.50 : x
  2. Step 2: Convert to fraction form
    17,750.94/24,497.56 = 10,198.50/x
  3. Step 3: Cross multiply
    17,750.94x = 24,497.56 × 10,198.50
  4. Step 4: Simplify right side
    17,750.94x = 249,838,365.66
  5. Step 5: Solve for x
    x = 249,838,365.66/17,750.94
  6. Step 6: Final answer
    x = 14,074.66

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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.