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Finding the Fourth Proportional to 13,436.76, 20,141.64 and 5,114.64

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Solution

The fourth proportional to 13,436.76, 20,141.64 and 5,114.64 is: 7,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.76 : 20,141.64 = 5,114.64 : x
  2. Step 2: Convert to fraction form
    13,436.76/20,141.64 = 5,114.64/x
  3. Step 3: Cross multiply
    13,436.76x = 20,141.64 × 5,114.64
  4. Step 4: Simplify right side
    13,436.76x = 103,017,237.61
  5. Step 5: Solve for x
    x = 103,017,237.61/13,436.76
  6. Step 6: Final answer
    x = 7,666.82

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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.