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Finding the Fourth Proportional to 29,684.42, 44,526.64 and 9,963.49

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Solution

The fourth proportional to 29,684.42, 44,526.64 and 9,963.49 is: 14,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.42 : 44,526.64 = 9,963.49 : x
  2. Step 2: Convert to fraction form
    29,684.42/44,526.64 = 9,963.49/x
  3. Step 3: Cross multiply
    29,684.42x = 44,526.64 × 9,963.49
  4. Step 4: Simplify right side
    29,684.42x = 443,640,858.14
  5. Step 5: Solve for x
    x = 443,640,858.14/29,684.42
  6. Step 6: Final answer
    x = 14,945.24

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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.