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Finding the Fourth Proportional to 16,201.05, 24,246.71 and 9,965.01

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Solution

The fourth proportional to 16,201.05, 24,246.71 and 9,965.01 is: 14,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.05 : 24,246.71 = 9,965.01 : x
  2. Step 2: Convert to fraction form
    16,201.05/24,246.71 = 9,965.01/x
  3. Step 3: Cross multiply
    16,201.05x = 24,246.71 × 9,965.01
  4. Step 4: Simplify right side
    16,201.05x = 241,618,657.79
  5. Step 5: Solve for x
    x = 241,618,657.79/16,201.05
  6. Step 6: Final answer
    x = 14,913.77

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1.5x scale

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.