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Finding the Fourth Proportional to 23,573.50, 32,531.43 and 12,963.82

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Solution

The fourth proportional to 23,573.50, 32,531.43 and 12,963.82 is: 17,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.50 : 32,531.43 = 12,963.82 : x
  2. Step 2: Convert to fraction form
    23,573.50/32,531.43 = 12,963.82/x
  3. Step 3: Cross multiply
    23,573.50x = 32,531.43 × 12,963.82
  4. Step 4: Simplify right side
    23,573.50x = 421,731,602.86
  5. Step 5: Solve for x
    x = 421,731,602.86/23,573.50
  6. Step 6: Final answer
    x = 17,890.07

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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.