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Finding the Fourth Proportional to 30,400.32, 45,600.08 and 9,623.82

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Solution

The fourth proportional to 30,400.32, 45,600.08 and 9,623.82 is: 14,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.32 : 45,600.08 = 9,623.82 : x
  2. Step 2: Convert to fraction form
    30,400.32/45,600.08 = 9,623.82/x
  3. Step 3: Cross multiply
    30,400.32x = 45,600.08 × 9,623.82
  4. Step 4: Simplify right side
    30,400.32x = 438,846,961.91
  5. Step 5: Solve for x
    x = 438,846,961.91/30,400.32
  6. Step 6: Final answer
    x = 14,435.60

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