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Finding the Fourth Proportional to 13,460.70, 20,177.46 and 6,776.76

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Solution

The fourth proportional to 13,460.70, 20,177.46 and 6,776.76 is: 10,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.70 : 20,177.46 = 6,776.76 : x
  2. Step 2: Convert to fraction form
    13,460.70/20,177.46 = 6,776.76/x
  3. Step 3: Cross multiply
    13,460.70x = 20,177.46 × 6,776.76
  4. Step 4: Simplify right side
    13,460.70x = 136,737,803.83
  5. Step 5: Solve for x
    x = 136,737,803.83/13,460.70
  6. Step 6: Final answer
    x = 10,158.30

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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.