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Finding the Fourth Proportional to 13,505.90, 20,266.12 and 6,580.40

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Solution

The fourth proportional to 13,505.90, 20,266.12 and 6,580.40 is: 9,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.90 : 20,266.12 = 6,580.40 : x
  2. Step 2: Convert to fraction form
    13,505.90/20,266.12 = 6,580.40/x
  3. Step 3: Cross multiply
    13,505.90x = 20,266.12 × 6,580.40
  4. Step 4: Simplify right side
    13,505.90x = 133,359,176.05
  5. Step 5: Solve for x
    x = 133,359,176.05/13,505.90
  6. Step 6: Final answer
    x = 9,874.14

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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.