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Finding the Fourth Proportional to 13,751.77, 18,976.94 and 7,464.01

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Solution

The fourth proportional to 13,751.77, 18,976.94 and 7,464.01 is: 10,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.77 : 18,976.94 = 7,464.01 : x
  2. Step 2: Convert to fraction form
    13,751.77/18,976.94 = 7,464.01/x
  3. Step 3: Cross multiply
    13,751.77x = 18,976.94 × 7,464.01
  4. Step 4: Simplify right side
    13,751.77x = 141,644,032.61
  5. Step 5: Solve for x
    x = 141,644,032.61/13,751.77
  6. Step 6: Final answer
    x = 10,300.06

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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.