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Finding the Fourth Proportional to 16,120.71, 24,181.03 and 9,097.54

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Solution

The fourth proportional to 16,120.71, 24,181.03 and 9,097.54 is: 13,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.71 : 24,181.03 = 9,097.54 : x
  2. Step 2: Convert to fraction form
    16,120.71/24,181.03 = 9,097.54/x
  3. Step 3: Cross multiply
    16,120.71x = 24,181.03 × 9,097.54
  4. Step 4: Simplify right side
    16,120.71x = 219,987,838.59
  5. Step 5: Solve for x
    x = 219,987,838.59/16,120.71
  6. Step 6: Final answer
    x = 13,646.29

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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.