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Finding the Fourth Proportional to 13,666.98, 20,503.20 and 4,902.57

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Solution

The fourth proportional to 13,666.98, 20,503.20 and 4,902.57 is: 7,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.98 : 20,503.20 = 4,902.57 : x
  2. Step 2: Convert to fraction form
    13,666.98/20,503.20 = 4,902.57/x
  3. Step 3: Cross multiply
    13,666.98x = 20,503.20 × 4,902.57
  4. Step 4: Simplify right side
    13,666.98x = 100,518,373.22
  5. Step 5: Solve for x
    x = 100,518,373.22/13,666.98
  6. Step 6: Final answer
    x = 7,354.83

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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.