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Finding the Fourth Proportional to 13,619.64, 18,796.86 and 7,652.46

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Solution

The fourth proportional to 13,619.64, 18,796.86 and 7,652.46 is: 10,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.64 : 18,796.86 = 7,652.46 : x
  2. Step 2: Convert to fraction form
    13,619.64/18,796.86 = 7,652.46/x
  3. Step 3: Cross multiply
    13,619.64x = 18,796.86 × 7,652.46
  4. Step 4: Simplify right side
    13,619.64x = 143,842,287.01
  5. Step 5: Solve for x
    x = 143,842,287.01/13,619.64
  6. Step 6: Final answer
    x = 10,561.39

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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.