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Finding the Fourth Proportional to 13,752.27, 18,977.62 and 7,464.51

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Solution

The fourth proportional to 13,752.27, 18,977.62 and 7,464.51 is: 10,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.27 : 18,977.62 = 7,464.51 : x
  2. Step 2: Convert to fraction form
    13,752.27/18,977.62 = 7,464.51/x
  3. Step 3: Cross multiply
    13,752.27x = 18,977.62 × 7,464.51
  4. Step 4: Simplify right side
    13,752.27x = 141,658,634.27
  5. Step 5: Solve for x
    x = 141,658,634.27/13,752.27
  6. Step 6: Final answer
    x = 10,300.75

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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.