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Finding the Fourth Proportional to 12,094.60, 18,130.97 and 4,301.59

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Solution

The fourth proportional to 12,094.60, 18,130.97 and 4,301.59 is: 6,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.60 : 18,130.97 = 4,301.59 : x
  2. Step 2: Convert to fraction form
    12,094.60/18,130.97 = 4,301.59/x
  3. Step 3: Cross multiply
    12,094.60x = 18,130.97 × 4,301.59
  4. Step 4: Simplify right side
    12,094.60x = 77,991,977.73
  5. Step 5: Solve for x
    x = 77,991,977.73/12,094.60
  6. Step 6: Final answer
    x = 6,448.50

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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.