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Finding the Fourth Proportional to 12,421, 17,132.30 and 8,170.72

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Solution

The fourth proportional to 12,421, 17,132.30 and 8,170.72 is: 11,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421 : 17,132.30 = 8,170.72 : x
  2. Step 2: Convert to fraction form
    12,421/17,132.30 = 8,170.72/x
  3. Step 3: Cross multiply
    12,421x = 17,132.30 × 8,170.72
  4. Step 4: Simplify right side
    12,421x = 139,983,226.26
  5. Step 5: Solve for x
    x = 139,983,226.26/12,421
  6. Step 6: Final answer
    x = 11,269.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.