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Finding the Fourth Proportional to 23,425.32, 32,326.02 and 12,814.68

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Solution

The fourth proportional to 23,425.32, 32,326.02 and 12,814.68 is: 17,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.32 : 32,326.02 = 12,814.68 : x
  2. Step 2: Convert to fraction form
    23,425.32/32,326.02 = 12,814.68/x
  3. Step 3: Cross multiply
    23,425.32x = 32,326.02 × 12,814.68
  4. Step 4: Simplify right side
    23,425.32x = 414,247,601.97
  5. Step 5: Solve for x
    x = 414,247,601.97/23,425.32
  6. Step 6: Final answer
    x = 17,683.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.