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Finding the Fourth Proportional to 17,632.90, 24,333.30 and 9,674.95

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Solution

The fourth proportional to 17,632.90, 24,333.30 and 9,674.95 is: 13,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.90 : 24,333.30 = 9,674.95 : x
  2. Step 2: Convert to fraction form
    17,632.90/24,333.30 = 9,674.95/x
  3. Step 3: Cross multiply
    17,632.90x = 24,333.30 × 9,674.95
  4. Step 4: Simplify right side
    17,632.90x = 235,423,460.84
  5. Step 5: Solve for x
    x = 235,423,460.84/17,632.90
  6. Step 6: Final answer
    x = 13,351.38

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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.