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Finding the Fourth Proportional to 38,209.68, 57,299.94 and 14,830.64

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Solution

The fourth proportional to 38,209.68, 57,299.94 and 14,830.64 is: 22,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.68 : 57,299.94 = 14,830.64 : x
  2. Step 2: Convert to fraction form
    38,209.68/57,299.94 = 14,830.64/x
  3. Step 3: Cross multiply
    38,209.68x = 57,299.94 × 14,830.64
  4. Step 4: Simplify right side
    38,209.68x = 849,794,782.16
  5. Step 5: Solve for x
    x = 849,794,782.16/38,209.68
  6. Step 6: Final answer
    x = 22,240.30

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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.