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Finding the Fourth Proportional to 14,656.68, 20,199.78 and 10,671.48

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Solution

The fourth proportional to 14,656.68, 20,199.78 and 10,671.48 is: 14,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.68 : 20,199.78 = 10,671.48 : x
  2. Step 2: Convert to fraction form
    14,656.68/20,199.78 = 10,671.48/x
  3. Step 3: Cross multiply
    14,656.68x = 20,199.78 × 10,671.48
  4. Step 4: Simplify right side
    14,656.68x = 215,561,548.27
  5. Step 5: Solve for x
    x = 215,561,548.27/14,656.68
  6. Step 6: Final answer
    x = 14,707.39

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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.