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Finding the Fourth Proportional to 19,368.38, 26,724.81 and 13,004.21

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Solution

The fourth proportional to 19,368.38, 26,724.81 and 13,004.21 is: 17,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368.38 : 26,724.81 = 13,004.21 : x
  2. Step 2: Convert to fraction form
    19,368.38/26,724.81 = 13,004.21/x
  3. Step 3: Cross multiply
    19,368.38x = 26,724.81 × 13,004.21
  4. Step 4: Simplify right side
    19,368.38x = 347,535,041.45
  5. Step 5: Solve for x
    x = 347,535,041.45/19,368.38
  6. Step 6: Final answer
    x = 17,943.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.