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Finding the Fourth Proportional to 13,453.14, 18,565.43 and 7,485.06

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Solution

The fourth proportional to 13,453.14, 18,565.43 and 7,485.06 is: 10,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.14 : 18,565.43 = 7,485.06 : x
  2. Step 2: Convert to fraction form
    13,453.14/18,565.43 = 7,485.06/x
  3. Step 3: Cross multiply
    13,453.14x = 18,565.43 × 7,485.06
  4. Step 4: Simplify right side
    13,453.14x = 138,963,320.05
  5. Step 5: Solve for x
    x = 138,963,320.05/13,453.14
  6. Step 6: Final answer
    x = 10,329.43

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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.