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Finding the Fourth Proportional to 12,622.32, 17,416.08 and 8,442.72

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Solution

The fourth proportional to 12,622.32, 17,416.08 and 8,442.72 is: 11,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.32 : 17,416.08 = 8,442.72 : x
  2. Step 2: Convert to fraction form
    12,622.32/17,416.08 = 8,442.72/x
  3. Step 3: Cross multiply
    12,622.32x = 17,416.08 × 8,442.72
  4. Step 4: Simplify right side
    12,622.32x = 147,039,086.94
  5. Step 5: Solve for x
    x = 147,039,086.94/12,622.32
  6. Step 6: Final answer
    x = 11,649.13

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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.