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Finding the Fourth Proportional to 17,378.90, 23,983.01 and 9,421.25

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Solution

The fourth proportional to 17,378.90, 23,983.01 and 9,421.25 is: 13,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.90 : 23,983.01 = 9,421.25 : x
  2. Step 2: Convert to fraction form
    17,378.90/23,983.01 = 9,421.25/x
  3. Step 3: Cross multiply
    17,378.90x = 23,983.01 × 9,421.25
  4. Step 4: Simplify right side
    17,378.90x = 225,949,885.86
  5. Step 5: Solve for x
    x = 225,949,885.86/17,378.90
  6. Step 6: Final answer
    x = 13,001.39

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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.