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Finding the Fourth Proportional to 12,176.21, 16,803.68 and 6,871.01

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Solution

The fourth proportional to 12,176.21, 16,803.68 and 6,871.01 is: 9,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.21 : 16,803.68 = 6,871.01 : x
  2. Step 2: Convert to fraction form
    12,176.21/16,803.68 = 6,871.01/x
  3. Step 3: Cross multiply
    12,176.21x = 16,803.68 × 6,871.01
  4. Step 4: Simplify right side
    12,176.21x = 115,458,134.94
  5. Step 5: Solve for x
    x = 115,458,134.94/12,176.21
  6. Step 6: Final answer
    x = 9,482.27

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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.