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Finding the Fourth Proportional to 21,569.39, 32,341.33 and 8,406.40

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Solution

The fourth proportional to 21,569.39, 32,341.33 and 8,406.40 is: 12,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.39 : 32,341.33 = 8,406.40 : x
  2. Step 2: Convert to fraction form
    21,569.39/32,341.33 = 8,406.40/x
  3. Step 3: Cross multiply
    21,569.39x = 32,341.33 × 8,406.40
  4. Step 4: Simplify right side
    21,569.39x = 271,874,114.48
  5. Step 5: Solve for x
    x = 271,874,114.48/21,569.39
  6. Step 6: Final answer
    x = 12,604.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.