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Finding the Fourth Proportional to 29,874.64, 44,818.71 and 9,884.09

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Solution

The fourth proportional to 29,874.64, 44,818.71 and 9,884.09 is: 14,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.64 : 44,818.71 = 9,884.09 : x
  2. Step 2: Convert to fraction form
    29,874.64/44,818.71 = 9,884.09/x
  3. Step 3: Cross multiply
    29,874.64x = 44,818.71 × 9,884.09
  4. Step 4: Simplify right side
    29,874.64x = 442,991,889.81
  5. Step 5: Solve for x
    x = 442,991,889.81/29,874.64
  6. Step 6: Final answer
    x = 14,828.36

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Why These Related Problems?

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