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Finding the Fourth Proportional to 13,542.47, 18,649.85 and 12,698.64

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Solution

The fourth proportional to 13,542.47, 18,649.85 and 12,698.64 is: 17,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.47 : 18,649.85 = 12,698.64 : x
  2. Step 2: Convert to fraction form
    13,542.47/18,649.85 = 12,698.64/x
  3. Step 3: Cross multiply
    13,542.47x = 18,649.85 × 12,698.64
  4. Step 4: Simplify right side
    13,542.47x = 236,827,667.71
  5. Step 5: Solve for x
    x = 236,827,667.71/13,542.47
  6. Step 6: Final answer
    x = 17,487.78

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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.