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Finding the Fourth Proportional to 13,985.42, 20,978.13 and 4,123.93

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Solution

The fourth proportional to 13,985.42, 20,978.13 and 4,123.93 is: 6,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.42 : 20,978.13 = 4,123.93 : x
  2. Step 2: Convert to fraction form
    13,985.42/20,978.13 = 4,123.93/x
  3. Step 3: Cross multiply
    13,985.42x = 20,978.13 × 4,123.93
  4. Step 4: Simplify right side
    13,985.42x = 86,512,383.36
  5. Step 5: Solve for x
    x = 86,512,383.36/13,985.42
  6. Step 6: Final answer
    x = 6,185.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.