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Finding the Fourth Proportional to 12,205.83, 16,841.02 and 6,900.53

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Solution

The fourth proportional to 12,205.83, 16,841.02 and 6,900.53 is: 9,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.83 : 16,841.02 = 6,900.53 : x
  2. Step 2: Convert to fraction form
    12,205.83/16,841.02 = 6,900.53/x
  3. Step 3: Cross multiply
    12,205.83x = 16,841.02 × 6,900.53
  4. Step 4: Simplify right side
    12,205.83x = 116,211,963.74
  5. Step 5: Solve for x
    x = 116,211,963.74/12,205.83
  6. Step 6: Final answer
    x = 9,521.02

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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.