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Finding the Fourth Proportional to 23,411.91, 32,308.12 and 13,340.95

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Solution

The fourth proportional to 23,411.91, 32,308.12 and 13,340.95 is: 18,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.91 : 32,308.12 = 13,340.95 : x
  2. Step 2: Convert to fraction form
    23,411.91/32,308.12 = 13,340.95/x
  3. Step 3: Cross multiply
    23,411.91x = 32,308.12 × 13,340.95
  4. Step 4: Simplify right side
    23,411.91x = 431,020,899.39
  5. Step 5: Solve for x
    x = 431,020,899.39/23,411.91
  6. Step 6: Final answer
    x = 18,410.33

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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.