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Finding the Fourth Proportional to 13,507.09, 18,639.75 and 7,538.70

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Solution

The fourth proportional to 13,507.09, 18,639.75 and 7,538.70 is: 10,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.09 : 18,639.75 = 7,538.70 : x
  2. Step 2: Convert to fraction form
    13,507.09/18,639.75 = 7,538.70/x
  3. Step 3: Cross multiply
    13,507.09x = 18,639.75 × 7,538.70
  4. Step 4: Simplify right side
    13,507.09x = 140,519,483.33
  5. Step 5: Solve for x
    x = 140,519,483.33/13,507.09
  6. Step 6: Final answer
    x = 10,403.39

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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.