Home / 21,742-32,513.32-16,199.12

Finding the Fourth Proportional to 21,742, 32,513.32 and 16,199.12

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Solution

The fourth proportional to 21,742, 32,513.32 and 16,199.12 is: 24,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742 : 32,513.32 = 16,199.12 : x
  2. Step 2: Convert to fraction form
    21,742/32,513.32 = 16,199.12/x
  3. Step 3: Cross multiply
    21,742x = 32,513.32 × 16,199.12
  4. Step 4: Simplify right side
    21,742x = 526,687,172.28
  5. Step 5: Solve for x
    x = 526,687,172.28/21,742
  6. Step 6: Final answer
    x = 24,224.41

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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.