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Finding the Fourth Proportional to 12,090.59, 18,143.07 and 6,543.83

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Solution

The fourth proportional to 12,090.59, 18,143.07 and 6,543.83 is: 9,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.59 : 18,143.07 = 6,543.83 : x
  2. Step 2: Convert to fraction form
    12,090.59/18,143.07 = 6,543.83/x
  3. Step 3: Cross multiply
    12,090.59x = 18,143.07 × 6,543.83
  4. Step 4: Simplify right side
    12,090.59x = 118,725,075.04
  5. Step 5: Solve for x
    x = 118,725,075.04/12,090.59
  6. Step 6: Final answer
    x = 9,819.63

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