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Finding the Fourth Proportional to 17,969.84, 24,798.38 and 10,420.57

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Solution

The fourth proportional to 17,969.84, 24,798.38 and 10,420.57 is: 14,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.84 : 24,798.38 = 10,420.57 : x
  2. Step 2: Convert to fraction form
    17,969.84/24,798.38 = 10,420.57/x
  3. Step 3: Cross multiply
    17,969.84x = 24,798.38 × 10,420.57
  4. Step 4: Simplify right side
    17,969.84x = 258,413,254.68
  5. Step 5: Solve for x
    x = 258,413,254.68/17,969.84
  6. Step 6: Final answer
    x = 14,380.39

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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.