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Finding the Fourth Proportional to 16,711, 25,076.91 and 15,153.83

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Solution

The fourth proportional to 16,711, 25,076.91 and 15,153.83 is: 22,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711 : 25,076.91 = 15,153.83 : x
  2. Step 2: Convert to fraction form
    16,711/25,076.91 = 15,153.83/x
  3. Step 3: Cross multiply
    16,711x = 25,076.91 × 15,153.83
  4. Step 4: Simplify right side
    16,711x = 380,011,231.07
  5. Step 5: Solve for x
    x = 380,011,231.07/16,711
  6. Step 6: Final answer
    x = 22,740.18

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Why These Related Problems?

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