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Finding the Fourth Proportional to 13,453.64, 18,565.75 and 7,485.18

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Solution

The fourth proportional to 13,453.64, 18,565.75 and 7,485.18 is: 10,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.64 : 18,565.75 = 7,485.18 : x
  2. Step 2: Convert to fraction form
    13,453.64/18,565.75 = 7,485.18/x
  3. Step 3: Cross multiply
    13,453.64x = 18,565.75 × 7,485.18
  4. Step 4: Simplify right side
    13,453.64x = 138,967,943.16
  5. Step 5: Solve for x
    x = 138,967,943.16/13,453.64
  6. Step 6: Final answer
    x = 10,329.39

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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.