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Finding the Fourth Proportional to 16,096.79, 24,146.55 and 4,410

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Solution

The fourth proportional to 16,096.79, 24,146.55 and 4,410 is: 6,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.79 : 24,146.55 = 4,410 : x
  2. Step 2: Convert to fraction form
    16,096.79/24,146.55 = 4,410/x
  3. Step 3: Cross multiply
    16,096.79x = 24,146.55 × 4,410
  4. Step 4: Simplify right side
    16,096.79x = 106,486,285.50
  5. Step 5: Solve for x
    x = 106,486,285.50/16,096.79
  6. Step 6: Final answer
    x = 6,615.37

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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.