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Finding the Fourth Proportional to 12,176.22, 16,803.18 and 6,871.02

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Solution

The fourth proportional to 12,176.22, 16,803.18 and 6,871.02 is: 9,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.22 : 16,803.18 = 6,871.02 : x
  2. Step 2: Convert to fraction form
    12,176.22/16,803.18 = 6,871.02/x
  3. Step 3: Cross multiply
    12,176.22x = 16,803.18 × 6,871.02
  4. Step 4: Simplify right side
    12,176.22x = 115,454,985.84
  5. Step 5: Solve for x
    x = 115,454,985.84/12,176.22
  6. Step 6: Final answer
    x = 9,482.01

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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.