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Finding the Fourth Proportional to 23,411.31, 32,307.41 and 12,801.02

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Solution

The fourth proportional to 23,411.31, 32,307.41 and 12,801.02 is: 17,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.31 : 32,307.41 = 12,801.02 : x
  2. Step 2: Convert to fraction form
    23,411.31/32,307.41 = 12,801.02/x
  3. Step 3: Cross multiply
    23,411.31x = 32,307.41 × 12,801.02
  4. Step 4: Simplify right side
    23,411.31x = 413,567,576.02
  5. Step 5: Solve for x
    x = 413,567,576.02/23,411.31
  6. Step 6: Final answer
    x = 17,665.29

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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.