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Finding the Fourth Proportional to 16,507.06, 24,756.71 and 9,845.42

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Solution

The fourth proportional to 16,507.06, 24,756.71 and 9,845.42 is: 14,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.06 : 24,756.71 = 9,845.42 : x
  2. Step 2: Convert to fraction form
    16,507.06/24,756.71 = 9,845.42/x
  3. Step 3: Cross multiply
    16,507.06x = 24,756.71 × 9,845.42
  4. Step 4: Simplify right side
    16,507.06x = 243,740,034.76
  5. Step 5: Solve for x
    x = 243,740,034.76/16,507.06
  6. Step 6: Final answer
    x = 14,765.81

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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.