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Finding the Fourth Proportional to 13,577.86, 20,340.45 and 10,013.50

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Solution

The fourth proportional to 13,577.86, 20,340.45 and 10,013.50 is: 15,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.86 : 20,340.45 = 10,013.50 : x
  2. Step 2: Convert to fraction form
    13,577.86/20,340.45 = 10,013.50/x
  3. Step 3: Cross multiply
    13,577.86x = 20,340.45 × 10,013.50
  4. Step 4: Simplify right side
    13,577.86x = 203,679,096.08
  5. Step 5: Solve for x
    x = 203,679,096.08/13,577.86
  6. Step 6: Final answer
    x = 15,000.82

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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.