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Finding the Fourth Proportional to 13,178.01, 19,767.02 and 5,386.81

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Solution

The fourth proportional to 13,178.01, 19,767.02 and 5,386.81 is: 8,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.01 : 19,767.02 = 5,386.81 : x
  2. Step 2: Convert to fraction form
    13,178.01/19,767.02 = 5,386.81/x
  3. Step 3: Cross multiply
    13,178.01x = 19,767.02 × 5,386.81
  4. Step 4: Simplify right side
    13,178.01x = 106,481,181.01
  5. Step 5: Solve for x
    x = 106,481,181.01/13,178.01
  6. Step 6: Final answer
    x = 8,080.22

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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.