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Finding the Fourth Proportional to 22,443.63, 30,972 and 12,234.66

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Solution

The fourth proportional to 22,443.63, 30,972 and 12,234.66 is: 16,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,443.63 : 30,972 = 12,234.66 : x
  2. Step 2: Convert to fraction form
    22,443.63/30,972 = 12,234.66/x
  3. Step 3: Cross multiply
    22,443.63x = 30,972 × 12,234.66
  4. Step 4: Simplify right side
    22,443.63x = 378,931,889.52
  5. Step 5: Solve for x
    x = 378,931,889.52/22,443.63
  6. Step 6: Final answer
    x = 16,883.72

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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.