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Finding the Fourth Proportional to 12,176.17, 16,803.34 and 6,871.10

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Solution

The fourth proportional to 12,176.17, 16,803.34 and 6,871.10 is: 9,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.17 : 16,803.34 = 6,871.10 : x
  2. Step 2: Convert to fraction form
    12,176.17/16,803.34 = 6,871.10/x
  3. Step 3: Cross multiply
    12,176.17x = 16,803.34 × 6,871.10
  4. Step 4: Simplify right side
    12,176.17x = 115,457,429.47
  5. Step 5: Solve for x
    x = 115,457,429.47/12,176.17
  6. Step 6: Final answer
    x = 9,482.25

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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.