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Finding the Fourth Proportional to 23,411.69, 32,308.14 and 12,801.41

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Solution

The fourth proportional to 23,411.69, 32,308.14 and 12,801.41 is: 17,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.69 : 32,308.14 = 12,801.41 : x
  2. Step 2: Convert to fraction form
    23,411.69/32,308.14 = 12,801.41/x
  3. Step 3: Cross multiply
    23,411.69x = 32,308.14 × 12,801.41
  4. Step 4: Simplify right side
    23,411.69x = 413,589,746.48
  5. Step 5: Solve for x
    x = 413,589,746.48/23,411.69
  6. Step 6: Final answer
    x = 17,665.95

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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.