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Finding the Fourth Proportional to 12,287.36, 18,421.63 and 5,708.75

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Solution

The fourth proportional to 12,287.36, 18,421.63 and 5,708.75 is: 8,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.36 : 18,421.63 = 5,708.75 : x
  2. Step 2: Convert to fraction form
    12,287.36/18,421.63 = 5,708.75/x
  3. Step 3: Cross multiply
    12,287.36x = 18,421.63 × 5,708.75
  4. Step 4: Simplify right side
    12,287.36x = 105,164,373.88
  5. Step 5: Solve for x
    x = 105,164,373.88/12,287.36
  6. Step 6: Final answer
    x = 8,558.74

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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.