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Finding the Fourth Proportional to 11,818.42, 17,727.62 and 9,730.04

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Solution

The fourth proportional to 11,818.42, 17,727.62 and 9,730.04 is: 14,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.42 : 17,727.62 = 9,730.04 : x
  2. Step 2: Convert to fraction form
    11,818.42/17,727.62 = 9,730.04/x
  3. Step 3: Cross multiply
    11,818.42x = 17,727.62 × 9,730.04
  4. Step 4: Simplify right side
    11,818.42x = 172,490,451.70
  5. Step 5: Solve for x
    x = 172,490,451.70/11,818.42
  6. Step 6: Final answer
    x = 14,595.05

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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.