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Finding the Fourth Proportional to 12,568.84, 17,325.12 and 10,043

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Solution

The fourth proportional to 12,568.84, 17,325.12 and 10,043 is: 13,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.84 : 17,325.12 = 10,043 : x
  2. Step 2: Convert to fraction form
    12,568.84/17,325.12 = 10,043/x
  3. Step 3: Cross multiply
    12,568.84x = 17,325.12 × 10,043
  4. Step 4: Simplify right side
    12,568.84x = 173,996,180.16
  5. Step 5: Solve for x
    x = 173,996,180.16/12,568.84
  6. Step 6: Final answer
    x = 13,843.46

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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.