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Finding the Fourth Proportional to 13,501.80, 20,254.17 and 5,188.86

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Solution

The fourth proportional to 13,501.80, 20,254.17 and 5,188.86 is: 7,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.80 : 20,254.17 = 5,188.86 : x
  2. Step 2: Convert to fraction form
    13,501.80/20,254.17 = 5,188.86/x
  3. Step 3: Cross multiply
    13,501.80x = 20,254.17 × 5,188.86
  4. Step 4: Simplify right side
    13,501.80x = 105,096,052.55
  5. Step 5: Solve for x
    x = 105,096,052.55/13,501.80
  6. Step 6: Final answer
    x = 7,783.85

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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.