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Finding the Fourth Proportional to 16,422.20, 22,663.17 and 8,970.20

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Solution

The fourth proportional to 16,422.20, 22,663.17 and 8,970.20 is: 12,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.20 : 22,663.17 = 8,970.20 : x
  2. Step 2: Convert to fraction form
    16,422.20/22,663.17 = 8,970.20/x
  3. Step 3: Cross multiply
    16,422.20x = 22,663.17 × 8,970.20
  4. Step 4: Simplify right side
    16,422.20x = 203,293,054.22
  5. Step 5: Solve for x
    x = 203,293,054.22/16,422.20
  6. Step 6: Final answer
    x = 12,379.16

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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.