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Finding the Fourth Proportional to 17,729.98, 24,467.55 and 9,772.51

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Solution

The fourth proportional to 17,729.98, 24,467.55 and 9,772.51 is: 13,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.98 : 24,467.55 = 9,772.51 : x
  2. Step 2: Convert to fraction form
    17,729.98/24,467.55 = 9,772.51/x
  3. Step 3: Cross multiply
    17,729.98x = 24,467.55 × 9,772.51
  4. Step 4: Simplify right side
    17,729.98x = 239,109,401.57
  5. Step 5: Solve for x
    x = 239,109,401.57/17,729.98
  6. Step 6: Final answer
    x = 13,486.16

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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.