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Finding the Fourth Proportional to 13,421.89, 20,134.05 and 4,537

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Solution

The fourth proportional to 13,421.89, 20,134.05 and 4,537 is: 6,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.89 : 20,134.05 = 4,537 : x
  2. Step 2: Convert to fraction form
    13,421.89/20,134.05 = 4,537/x
  3. Step 3: Cross multiply
    13,421.89x = 20,134.05 × 4,537
  4. Step 4: Simplify right side
    13,421.89x = 91,348,184.85
  5. Step 5: Solve for x
    x = 91,348,184.85/13,421.89
  6. Step 6: Final answer
    x = 6,805.91

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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.