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Finding the Fourth Proportional to 13,178.53, 19,767.89 and 4,414.13

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Solution

The fourth proportional to 13,178.53, 19,767.89 and 4,414.13 is: 6,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.53 : 19,767.89 = 4,414.13 : x
  2. Step 2: Convert to fraction form
    13,178.53/19,767.89 = 4,414.13/x
  3. Step 3: Cross multiply
    13,178.53x = 19,767.89 × 4,414.13
  4. Step 4: Simplify right side
    13,178.53x = 87,258,036.29
  5. Step 5: Solve for x
    x = 87,258,036.29/13,178.53
  6. Step 6: Final answer
    x = 6,621.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.