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Finding the Fourth Proportional to 13,036, 19,557.24 and 3,802

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Solution

The fourth proportional to 13,036, 19,557.24 and 3,802 is: 5,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036 : 19,557.24 = 3,802 : x
  2. Step 2: Convert to fraction form
    13,036/19,557.24 = 3,802/x
  3. Step 3: Cross multiply
    13,036x = 19,557.24 × 3,802
  4. Step 4: Simplify right side
    13,036x = 74,356,626.48
  5. Step 5: Solve for x
    x = 74,356,626.48/13,036
  6. Step 6: Final answer
    x = 5,703.94

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Why These Related Problems?

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