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Finding the Fourth Proportional to 23,411.86, 32,308.62 and 13,340.20

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Solution

The fourth proportional to 23,411.86, 32,308.62 and 13,340.20 is: 18,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.86 : 32,308.62 = 13,340.20 : x
  2. Step 2: Convert to fraction form
    23,411.86/32,308.62 = 13,340.20/x
  3. Step 3: Cross multiply
    23,411.86x = 32,308.62 × 13,340.20
  4. Step 4: Simplify right side
    23,411.86x = 431,003,452.52
  5. Step 5: Solve for x
    x = 431,003,452.52/23,411.86
  6. Step 6: Final answer
    x = 18,409.62

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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.