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Finding the Fourth Proportional to 23,437.53, 32,343.86 and 12,827.85

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Solution

The fourth proportional to 23,437.53, 32,343.86 and 12,827.85 is: 17,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.53 : 32,343.86 = 12,827.85 : x
  2. Step 2: Convert to fraction form
    23,437.53/32,343.86 = 12,827.85/x
  3. Step 3: Cross multiply
    23,437.53x = 32,343.86 × 12,827.85
  4. Step 4: Simplify right side
    23,437.53x = 414,902,120.36
  5. Step 5: Solve for x
    x = 414,902,120.36/23,437.53
  6. Step 6: Final answer
    x = 17,702.47

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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.