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Finding the Fourth Proportional to 12,205.35, 16,841.62 and 6,827.76

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Solution

The fourth proportional to 12,205.35, 16,841.62 and 6,827.76 is: 9,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.35 : 16,841.62 = 6,827.76 : x
  2. Step 2: Convert to fraction form
    12,205.35/16,841.62 = 6,827.76/x
  3. Step 3: Cross multiply
    12,205.35x = 16,841.62 × 6,827.76
  4. Step 4: Simplify right side
    12,205.35x = 114,990,547.91
  5. Step 5: Solve for x
    x = 114,990,547.91/12,205.35
  6. Step 6: Final answer
    x = 9,421.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.