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Finding the Fourth Proportional to 17,676, 24,393.45 and 9,718.80

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Solution

The fourth proportional to 17,676, 24,393.45 and 9,718.80 is: 13,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676 : 24,393.45 = 9,718.80 : x
  2. Step 2: Convert to fraction form
    17,676/24,393.45 = 9,718.80/x
  3. Step 3: Cross multiply
    17,676x = 24,393.45 × 9,718.80
  4. Step 4: Simplify right side
    17,676x = 237,075,061.86
  5. Step 5: Solve for x
    x = 237,075,061.86/17,676
  6. Step 6: Final answer
    x = 13,412.26

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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.