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Finding the Fourth Proportional to 29,770.32, 44,661.24 and 8,994

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Solution

The fourth proportional to 29,770.32, 44,661.24 and 8,994 is: 13,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.32 : 44,661.24 = 8,994 : x
  2. Step 2: Convert to fraction form
    29,770.32/44,661.24 = 8,994/x
  3. Step 3: Cross multiply
    29,770.32x = 44,661.24 × 8,994
  4. Step 4: Simplify right side
    29,770.32x = 401,683,192.56
  5. Step 5: Solve for x
    x = 401,683,192.56/29,770.32
  6. Step 6: Final answer
    x = 13,492.74

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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.