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Finding the Fourth Proportional to 13,438.84, 20,158.30 and 4,078.93

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Solution

The fourth proportional to 13,438.84, 20,158.30 and 4,078.93 is: 6,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.84 : 20,158.30 = 4,078.93 : x
  2. Step 2: Convert to fraction form
    13,438.84/20,158.30 = 4,078.93/x
  3. Step 3: Cross multiply
    13,438.84x = 20,158.30 × 4,078.93
  4. Step 4: Simplify right side
    13,438.84x = 82,224,294.62
  5. Step 5: Solve for x
    x = 82,224,294.62/13,438.84
  6. Step 6: Final answer
    x = 6,118.41

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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.