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Finding the Fourth Proportional to 23,425.29, 32,326.89 and 12,814.92

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Solution

The fourth proportional to 23,425.29, 32,326.89 and 12,814.92 is: 17,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.29 : 32,326.89 = 12,814.92 : x
  2. Step 2: Convert to fraction form
    23,425.29/32,326.89 = 12,814.92/x
  3. Step 3: Cross multiply
    23,425.29x = 32,326.89 × 12,814.92
  4. Step 4: Simplify right side
    23,425.29x = 414,266,509.20
  5. Step 5: Solve for x
    x = 414,266,509.20/23,425.29
  6. Step 6: Final answer
    x = 17,684.58

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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.