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Finding the Fourth Proportional to 21,209.40, 31,814.10 and 20,140.20

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Solution

The fourth proportional to 21,209.40, 31,814.10 and 20,140.20 is: 30,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.40 : 31,814.10 = 20,140.20 : x
  2. Step 2: Convert to fraction form
    21,209.40/31,814.10 = 20,140.20/x
  3. Step 3: Cross multiply
    21,209.40x = 31,814.10 × 20,140.20
  4. Step 4: Simplify right side
    21,209.40x = 640,742,336.82
  5. Step 5: Solve for x
    x = 640,742,336.82/21,209.40
  6. Step 6: Final answer
    x = 30,210.30

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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.