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Finding the Fourth Proportional to 29,410.40, 44,106.16 and 9,684.24

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Solution

The fourth proportional to 29,410.40, 44,106.16 and 9,684.24 is: 14,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,410.40 : 44,106.16 = 9,684.24 : x
  2. Step 2: Convert to fraction form
    29,410.40/44,106.16 = 9,684.24/x
  3. Step 3: Cross multiply
    29,410.40x = 44,106.16 × 9,684.24
  4. Step 4: Simplify right side
    29,410.40x = 427,134,638.92
  5. Step 5: Solve for x
    x = 427,134,638.92/29,410.40
  6. Step 6: Final answer
    x = 14,523.25

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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.