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Finding the Fourth Proportional to 17,875.70, 24,668.75 and 10,322.69

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Solution

The fourth proportional to 17,875.70, 24,668.75 and 10,322.69 is: 14,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.70 : 24,668.75 = 10,322.69 : x
  2. Step 2: Convert to fraction form
    17,875.70/24,668.75 = 10,322.69/x
  3. Step 3: Cross multiply
    17,875.70x = 24,668.75 × 10,322.69
  4. Step 4: Simplify right side
    17,875.70x = 254,647,768.94
  5. Step 5: Solve for x
    x = 254,647,768.94/17,875.70
  6. Step 6: Final answer
    x = 14,245.47

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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.