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Finding the Fourth Proportional to 12,021.68, 18,036.62 and 6,475.60

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Solution

The fourth proportional to 12,021.68, 18,036.62 and 6,475.60 is: 9,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.68 : 18,036.62 = 6,475.60 : x
  2. Step 2: Convert to fraction form
    12,021.68/18,036.62 = 6,475.60/x
  3. Step 3: Cross multiply
    12,021.68x = 18,036.62 × 6,475.60
  4. Step 4: Simplify right side
    12,021.68x = 116,797,885.89
  5. Step 5: Solve for x
    x = 116,797,885.89/12,021.68
  6. Step 6: Final answer
    x = 9,715.60

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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.