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Finding the Fourth Proportional to 17,442, 24,070.32 and 9,990

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Solution

The fourth proportional to 17,442, 24,070.32 and 9,990 is: 13,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442 : 24,070.32 = 9,990 : x
  2. Step 2: Convert to fraction form
    17,442/24,070.32 = 9,990/x
  3. Step 3: Cross multiply
    17,442x = 24,070.32 × 9,990
  4. Step 4: Simplify right side
    17,442x = 240,462,496.80
  5. Step 5: Solve for x
    x = 240,462,496.80/17,442
  6. Step 6: Final answer
    x = 13,786.41

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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.