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Finding the Fourth Proportional to 12,205.65, 16,841.71 and 6,900.35

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Solution

The fourth proportional to 12,205.65, 16,841.71 and 6,900.35 is: 9,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.65 : 16,841.71 = 6,900.35 : x
  2. Step 2: Convert to fraction form
    12,205.65/16,841.71 = 6,900.35/x
  3. Step 3: Cross multiply
    12,205.65x = 16,841.71 × 6,900.35
  4. Step 4: Simplify right side
    12,205.65x = 116,213,718.45
  5. Step 5: Solve for x
    x = 116,213,718.45/12,205.65
  6. Step 6: Final answer
    x = 9,521.31

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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.