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Finding the Fourth Proportional to 19,289.40, 28,934.10 and 5,438.40

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Solution

The fourth proportional to 19,289.40, 28,934.10 and 5,438.40 is: 8,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,289.40 : 28,934.10 = 5,438.40 : x
  2. Step 2: Convert to fraction form
    19,289.40/28,934.10 = 5,438.40/x
  3. Step 3: Cross multiply
    19,289.40x = 28,934.10 × 5,438.40
  4. Step 4: Simplify right side
    19,289.40x = 157,355,209.44
  5. Step 5: Solve for x
    x = 157,355,209.44/19,289.40
  6. Step 6: Final answer
    x = 8,157.60

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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.