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Finding the Fourth Proportional to 12,211.80, 16,852.89 and 7,176.30

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Solution

The fourth proportional to 12,211.80, 16,852.89 and 7,176.30 is: 9,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.80 : 16,852.89 = 7,176.30 : x
  2. Step 2: Convert to fraction form
    12,211.80/16,852.89 = 7,176.30/x
  3. Step 3: Cross multiply
    12,211.80x = 16,852.89 × 7,176.30
  4. Step 4: Simplify right side
    12,211.80x = 120,941,394.51
  5. Step 5: Solve for x
    x = 120,941,394.51/12,211.80
  6. Step 6: Final answer
    x = 9,903.65

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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.