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Finding the Fourth Proportional to 13,465.89, 20,198.98 and 4,700.83

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Solution

The fourth proportional to 13,465.89, 20,198.98 and 4,700.83 is: 7,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.89 : 20,198.98 = 4,700.83 : x
  2. Step 2: Convert to fraction form
    13,465.89/20,198.98 = 4,700.83/x
  3. Step 3: Cross multiply
    13,465.89x = 20,198.98 × 4,700.83
  4. Step 4: Simplify right side
    13,465.89x = 94,951,971.15
  5. Step 5: Solve for x
    x = 94,951,971.15/13,465.89
  6. Step 6: Final answer
    x = 7,051.30

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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.