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Finding the Fourth Proportional to 13,070.68, 19,607.46 and 4,186.83

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Solution

The fourth proportional to 13,070.68, 19,607.46 and 4,186.83 is: 6,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.68 : 19,607.46 = 4,186.83 : x
  2. Step 2: Convert to fraction form
    13,070.68/19,607.46 = 4,186.83/x
  3. Step 3: Cross multiply
    13,070.68x = 19,607.46 × 4,186.83
  4. Step 4: Simplify right side
    13,070.68x = 82,093,101.75
  5. Step 5: Solve for x
    x = 82,093,101.75/13,070.68
  6. Step 6: Final answer
    x = 6,280.71

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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.