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Finding the Fourth Proportional to 17,725.98, 24,460.74 and 9,768.20

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Solution

The fourth proportional to 17,725.98, 24,460.74 and 9,768.20 is: 13,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.98 : 24,460.74 = 9,768.20 : x
  2. Step 2: Convert to fraction form
    17,725.98/24,460.74 = 9,768.20/x
  3. Step 3: Cross multiply
    17,725.98x = 24,460.74 × 9,768.20
  4. Step 4: Simplify right side
    17,725.98x = 238,937,439.82
  5. Step 5: Solve for x
    x = 238,937,439.82/17,725.98
  6. Step 6: Final answer
    x = 13,479.51

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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.