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Finding the Fourth Proportional to 13,433.76, 20,144.88 and 5,220

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Solution

The fourth proportional to 13,433.76, 20,144.88 and 5,220 is: 7,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.76 : 20,144.88 = 5,220 : x
  2. Step 2: Convert to fraction form
    13,433.76/20,144.88 = 5,220/x
  3. Step 3: Cross multiply
    13,433.76x = 20,144.88 × 5,220
  4. Step 4: Simplify right side
    13,433.76x = 105,156,273.60
  5. Step 5: Solve for x
    x = 105,156,273.60/13,433.76
  6. Step 6: Final answer
    x = 7,827.76

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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.