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Finding the Fourth Proportional to 13,752.09, 18,977.37 and 7,464.33

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Solution

The fourth proportional to 13,752.09, 18,977.37 and 7,464.33 is: 10,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.09 : 18,977.37 = 7,464.33 : x
  2. Step 2: Convert to fraction form
    13,752.09/18,977.37 = 7,464.33/x
  3. Step 3: Cross multiply
    13,752.09x = 18,977.37 × 7,464.33
  4. Step 4: Simplify right side
    13,752.09x = 141,653,220.00
  5. Step 5: Solve for x
    x = 141,653,220.00/13,752.09
  6. Step 6: Final answer
    x = 10,300.49

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