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Finding the Fourth Proportional to 16,397.68, 24,596.72 and 4,711

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Solution

The fourth proportional to 16,397.68, 24,596.72 and 4,711 is: 7,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.68 : 24,596.72 = 4,711 : x
  2. Step 2: Convert to fraction form
    16,397.68/24,596.72 = 4,711/x
  3. Step 3: Cross multiply
    16,397.68x = 24,596.72 × 4,711
  4. Step 4: Simplify right side
    16,397.68x = 115,875,147.92
  5. Step 5: Solve for x
    x = 115,875,147.92/16,397.68
  6. Step 6: Final answer
    x = 7,066.56

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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.