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Finding the Fourth Proportional to 17,750.21, 24,494.45 and 10,191.21

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Solution

The fourth proportional to 17,750.21, 24,494.45 and 10,191.21 is: 14,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.21 : 24,494.45 = 10,191.21 : x
  2. Step 2: Convert to fraction form
    17,750.21/24,494.45 = 10,191.21/x
  3. Step 3: Cross multiply
    17,750.21x = 24,494.45 × 10,191.21
  4. Step 4: Simplify right side
    17,750.21x = 249,628,032.83
  5. Step 5: Solve for x
    x = 249,628,032.83/17,750.21
  6. Step 6: Final answer
    x = 14,063.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.