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Finding the Fourth Proportional to 23,573.36, 32,531.32 and 12,963.66

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Solution

The fourth proportional to 23,573.36, 32,531.32 and 12,963.66 is: 17,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.36 : 32,531.32 = 12,963.66 : x
  2. Step 2: Convert to fraction form
    23,573.36/32,531.32 = 12,963.66/x
  3. Step 3: Cross multiply
    23,573.36x = 32,531.32 × 12,963.66
  4. Step 4: Simplify right side
    23,573.36x = 421,724,971.83
  5. Step 5: Solve for x
    x = 421,724,971.83/23,573.36
  6. Step 6: Final answer
    x = 17,889.90

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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.