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Finding the Fourth Proportional to 22,577.34, 33,927.33 and 12,054.72

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Solution

The fourth proportional to 22,577.34, 33,927.33 and 12,054.72 is: 18,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.34 : 33,927.33 = 12,054.72 : x
  2. Step 2: Convert to fraction form
    22,577.34/33,927.33 = 12,054.72/x
  3. Step 3: Cross multiply
    22,577.34x = 33,927.33 × 12,054.72
  4. Step 4: Simplify right side
    22,577.34x = 408,984,463.50
  5. Step 5: Solve for x
    x = 408,984,463.50/22,577.34
  6. Step 6: Final answer
    x = 18,114.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.