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Finding the Fourth Proportional to 23,809.86, 32,863.05 and 15,411.78

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Solution

The fourth proportional to 23,809.86, 32,863.05 and 15,411.78 is: 21,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.86 : 32,863.05 = 15,411.78 : x
  2. Step 2: Convert to fraction form
    23,809.86/32,863.05 = 15,411.78/x
  3. Step 3: Cross multiply
    23,809.86x = 32,863.05 × 15,411.78
  4. Step 4: Simplify right side
    23,809.86x = 506,478,096.73
  5. Step 5: Solve for x
    x = 506,478,096.73/23,809.86
  6. Step 6: Final answer
    x = 21,271.78

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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.