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Finding the Fourth Proportional to 17,924.02, 24,735.09 and 9,966.25

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Solution

The fourth proportional to 17,924.02, 24,735.09 and 9,966.25 is: 13,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.02 : 24,735.09 = 9,966.25 : x
  2. Step 2: Convert to fraction form
    17,924.02/24,735.09 = 9,966.25/x
  3. Step 3: Cross multiply
    17,924.02x = 24,735.09 × 9,966.25
  4. Step 4: Simplify right side
    17,924.02x = 246,516,090.71
  5. Step 5: Solve for x
    x = 246,516,090.71/17,924.02
  6. Step 6: Final answer
    x = 13,753.39

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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.