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Finding the Fourth Proportional to 22,257.56, 30,714.30 and 12,184.16

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Solution

The fourth proportional to 22,257.56, 30,714.30 and 12,184.16 is: 16,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.56 : 30,714.30 = 12,184.16 : x
  2. Step 2: Convert to fraction form
    22,257.56/30,714.30 = 12,184.16/x
  3. Step 3: Cross multiply
    22,257.56x = 30,714.30 × 12,184.16
  4. Step 4: Simplify right side
    22,257.56x = 374,227,945.49
  5. Step 5: Solve for x
    x = 374,227,945.49/22,257.56
  6. Step 6: Final answer
    x = 16,813.52

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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.