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Finding the Fourth Proportional to 12,175.84, 16,803.16 and 6,870.63

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Solution

The fourth proportional to 12,175.84, 16,803.16 and 6,870.63 is: 9,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.84 : 16,803.16 = 6,870.63 : x
  2. Step 2: Convert to fraction form
    12,175.84/16,803.16 = 6,870.63/x
  3. Step 3: Cross multiply
    12,175.84x = 16,803.16 × 6,870.63
  4. Step 4: Simplify right side
    12,175.84x = 115,448,278.01
  5. Step 5: Solve for x
    x = 115,448,278.01/12,175.84
  6. Step 6: Final answer
    x = 9,481.75

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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.