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Finding the Fourth Proportional to 23,438.95, 32,344.96 and 12,828.36

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Solution

The fourth proportional to 23,438.95, 32,344.96 and 12,828.36 is: 17,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.95 : 32,344.96 = 12,828.36 : x
  2. Step 2: Convert to fraction form
    23,438.95/32,344.96 = 12,828.36/x
  3. Step 3: Cross multiply
    23,438.95x = 32,344.96 × 12,828.36
  4. Step 4: Simplify right side
    23,438.95x = 414,932,791.07
  5. Step 5: Solve for x
    x = 414,932,791.07/23,438.95
  6. Step 6: Final answer
    x = 17,702.70

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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.