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Finding the Fourth Proportional to 17,401.53, 24,014.12 and 9,443.75

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Solution

The fourth proportional to 17,401.53, 24,014.12 and 9,443.75 is: 13,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.53 : 24,014.12 = 9,443.75 : x
  2. Step 2: Convert to fraction form
    17,401.53/24,014.12 = 9,443.75/x
  3. Step 3: Cross multiply
    17,401.53x = 24,014.12 × 9,443.75
  4. Step 4: Simplify right side
    17,401.53x = 226,783,303.93
  5. Step 5: Solve for x
    x = 226,783,303.93/17,401.53
  6. Step 6: Final answer
    x = 13,032.38

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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.